WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
Finansiële documente, tariewe
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
Financial documents, tariffs
'n Sekere Munisipaliteit het die volgende
tariefstelsel vir die verkoop van
huishoudelike water. [ Die verbruik word
bepaal deur die lesing af te rond na die
volgende heelgetal kl verbruik.
Dus, 7,5 kl word afgerond na 8 kl ]:
A certain Municipality has the following tariff
system for calculating the charge for the sale
of household water. [ The consumption is
determined by rounding up the reading to the
next whole number kl consumed.
Thus, 7,5 kl is rounded up to 8 kl ]:
Van kℓ |
Tot kℓ |
Tarief per kℓ (R) |
|
Van kℓ |
Tot kℓ |
Tarief per kℓ (R) |
From kℓ |
To kℓ |
Tariff per kℓ (R) |
|
From kℓ |
To kℓ |
Tariff per kℓ (R) |
0 |
6 |
gratis / free |
|
50,00 |
79,99 |
3,50 |
6,01 |
29,99 |
2,00 |
|
80,00 |
99,99 |
4,50 |
30,00 |
49,99 |
2,40 |
|
100,00 |
en meer. / and more |
7,80 |
1.1
'n Huishouding verbruik 8 kl water.
1.1.1
Wat is die tarief vir die verbruik?
[ A 1.1.1 ]
1.1.2
Wat is die bedrag betaalbaar?
Toon al jou berekeninge.
[ A 1.1.2 ]
1.2
Die verbruik is 49,12 kl vir die maand.
Bereken die bedrag verskuldig.
Toon al jou berekeninge.
[ A 1.2 ]
1.3
'n Rekening vir R135,65 word
gegee vir 'n verbruik van 55 kl.
Toets die korrektheid van die
rekening. Toon al jou berekeninge.
[ A 1.3 ]
1.1
A household uses 8 kl of water.
1.1.1
What is the tariff for this consumption?
[ A 1.1 ]
1.1.2
What is the amount payable?
Show all your calculations.
[ A 1.1.2 ]
1.2
The consumtion for the month is
49,12 kl. Calculate the amount payable.
Show all your calculations.
[ A 1.2 ]
1.3
An account for R135,65 is rendered for
a consumption of 55 kl.
Test the correctness of the account.
Show all your calculations.
[ A 1.3 ]
Gert stel die volgende begroting op:
|
|
|
Inkomste (R) |
|
|
Uitgawe (R) |
|
Salaris |
7 600 |
|
Huishuur |
2 800 |
|
|
|
Kos |
1 900 |
|
|
|
Klere |
600 |
|
|
|
Motor paaiement |
1 300 |
|
|
|
Motor onderhoud |
820 |
|
|
|
Vermaak |
600 |
|
|
|
Spaar |
500 |
Totaal |
7 600 |
|
Totaal |
|
|
2.1
Bepaal Gert se totale uitgawe.
Kan hy al sy uitgawes bekostig?
[ A 2.1 ]
2.2
Veronderstel dat hy niks spaar nie.
Klop sy begroting nou? Wat kan
hy nog doen om sy begroting .
te laat klop?
[ A 2.2 ]
2.3
Hy besluit om tog R300 te spaar.
Wat kan hy doen om sy begroting
te laat klop?
[ A 2.3 ]
Jack draws up the following budget :
|
|
|
Income (R) |
|
|
Expenses (R) |
|
Salary |
7 600 |
|
Rent |
2 800 |
|
|
|
Food |
1 900 |
|
|
|
Clothes |
600 |
|
|
|
Imstalment - motor car |
1 300 |
|
|
|
Maintance - motor car |
820 |
|
|
|
Entertainment |
600 |
|
|
|
Saving Scheme |
500 |
Total |
7 600 |
|
Total |
|
|
2.1
Determine Jack's total expenses.
Can he afford all his expenses?
[ A 2.1 ]
2.2
Suppose that he saves nothing.
Does his budget balance?
What else can he do to balance
his budget?
[ A 2.2 ]
2.3
He decides to save R300. What
can he do to balance his budget?
[ A 2.3 ]
Koos stel die volgende begroting op:
Peter draws up the following budget :
Inkomste / Income |
R |
|
Uitgawe / Expenses |
R |
Salaris / Salary |
17 000 |
|
Paaiement - huis / Instalment - house |
6 800 |
|
|
|
Paaiement - motor / Instalment - motor car |
2 100 |
|
|
|
Paaiement - 2de motor / Instalment - 2nd car |
1 000 |
|
|
|
Motor onderhoud / Maintenance - motor cars |
1 000 |
|
|
|
Kos / Food |
3 200 |
|
|
|
Klere / Clothes |
1 320 |
|
|
|
Skoolonkostes / Expenses - school |
1 680 |
|
|
|
Vermaak / Entertainment |
800 |
|
|
|
Spaar / Savings Account |
400 |
Totaal / Total |
A |
|
Totaal / Total |
B |
3.1
Bepaal A en B se waardes in die tabel.
[ A 3.1 ]
3.2
Kan hy al sy uitgawes bekostig?
[ A 3.2 ]
3.3
Veronderstel dat hy niks spaar nie.
Klop sy begroting nou? Wat kan hy
nog doen om sy begroting te
laat klop?
[ A 3.3 ]
3.1
Determine the values of A and B in the
table
[ A 3.1 ]
3.2
Can he afford all his expenses?
[ A 3.2 ]
3.3
Suppose that he saves nothing.
Does his budget now balance?
What more can he do to balance
his budget?
[ A 3.3 ]
Bestudeer die volgende rekening van
XYZ Munisipaliteit en beantwoord dan
die vrae hieronder :
XYZ Munisipaliteit |
Slingerstraat 13
Bus 34
Foon: 001 968 0001 |
Komhier
Komhier
Faks: 001 968 0002 |
001908
001908 |
|
Mnr. JS Poggempoel
Rekening vir Maart 2016 |
Bus 31
Datum : 28/03/2016 |
Komhier
Betaal voor 14 / 04 / 2016 |
001908
Rekeningnommer : 10416 |
|
Beskrywing |
Hoeveel |
Bedrag |
BTW |
Bedrag |
Balans oorgedra |
|
|
|
639,45 |
Betaling ontvang |
|
|
|
-639,45 |
Water |
35 |
43,75 |
49,88 |
93,63 |
Elektrisiteit |
288 |
478,08 |
66,93 |
545,10 |
Vullis verwydering |
|
50,00 |
7,00 |
57,00 |
Riolering |
35 |
70,00 |
9,80 |
79,80 |
Erfbelasting |
|
|
|
410,12 |
Verskuldig |
|
572,53 |
133,61 |
1 185,65 |
|
Meterlesings |
Eiendomsinligting |
Soort |
Vorige |
Huidge |
Erfnommer |
0236 |
Water |
1206 |
1241 |
Grootte (ha) |
0,1 |
Elektrisiteit |
80136 |
80324 |
Waardasie |
350 000 |
|
|
|
Belasting |
4 921,44 |
|
Notas : |
1. Watertarief : R1,10 /kiloliter - eerste 6 kiloliter gratis |
2. Elektrisiteitstarief : R1,45 / eenheid |
3. Rente teen 15% p.a. word gehef op bedrae wat |
te laat betaal word, |
|
Study the following account from
XYZ Municipality and then answer
the questions below :
XYZ Municipality |
13 Wandering Street
P. O. Box 34
Phone: 001 968 0001 |
Hereweare
Hereweare
Fax: 001 968 0002 |
001908
001908 |
|
Mr. JS Pimpleroy
Account : March 2016 |
P. O. Box 31
Date : 28/03/2016 |
Hereweare
Settle before 14 / 04 / 2016 |
001908
Account number : 10416 |
|
Description |
Charge |
Amount |
VAT |
Amount |
Brought forward |
|
|
|
639,45 |
Payment received |
|
|
|
-639,45 |
Water |
35 |
43,75 |
49,88 |
93,63 |
Electricity |
288 |
478,08 |
66,93 |
545,10 |
Refuse removal |
|
50,00 |
7,00 |
57,00 |
Sewage |
35 |
70,00 |
9,80 |
79,80 |
Annual levy |
|
|
|
410,12 |
Amount due |
|
572,53 |
133,61 |
1 185,65 |
|
Meter readings |
Property information |
Type |
Previous |
Current |
Stand |
0236 |
Water |
1206 |
1241 |
Size (ha) |
0,1 |
Electricity |
80136 |
80324 |
Value |
350 000 |
|
|
|
Annual levy |
4 921,44 |
|
Notes : |
1. Water rate : R1,10 /kiloliter - firs 6 kiloliter free |
2. Electricity rate : R1,45 / unit |
3. Interest at 15% p.a. ia added on late payments |
and overdue accounts. |
|
4.1
Wat is die Munispaliteit se foonnommer?
[ A 4.1 ]
4.2
Wat is die Munispaliteit se posadres?
Kan hy al sy uitgawes bekostig?
[ A 4.2 ]
4.3
Wat is die datum waarop die
rekening uitgereik is?
[ A 4.3 ]
4.4
Wat is die laaste datum waarop die
rekening betaal kan word sonder
om rente te betaal?
[ A 4.4 ]
4.5
Waarom word die bedrag by
Betaling ontvang as 'n
negatiewe getal geskryf?
[ A 4.5 ]
4.6
Kontroleer die verbruik van water
en elektrisiteit. Toon jou berekeninge.
[ A 4.6 ]
4.7
Is die bedrag betaalbaar vir water
korrek? Toon jou berekeninge.
[ A 4.7 ]
4.8
Is daar nog foute op die rekening?
Toon jou berekeninge.
[ A 4.8 ]
4.9
Is dit korrek dat in hierdie geval
die eiendomsbelasting teen
1,6% bereken word?
[ A 4.9 ]
4.1
Write down the phone number
of the Municipality.
[ A 4.1 ]
4.2
Write down the postal address
of the Municipality.
[ A 4.2 ]
4.3
What is the date on which the
account was issued?
[ A 4.3 ]
4.4
What is the last date on which the
account can be settled without
incurring interest?
[ A 4.4 ]
4.5
The amount "Payment received"
is shown shown as a negative
amount. Explain.
[ A 4.5 ]
4.6
Is the consumption of water and
electricity correct? Show all
your calculations.
[ A 4.6 ]
4.7
Is the amount payable for water
correct? Show all your calculations.
[ A 4.7 ]
4.8
Are there any other mistakes?
Show your calculations.
[ A 4.8 ]
4.9
Confirm that in this case property
tax is levied at 1,6%.
[ A 4.9 ]
Bestudeer die bankstaat van
'n spaarrekening.
Ons Nuwebank |
Bus 21
Foon: 088 968 0001
2 Mei 2005 |
Wegloop
Faks: 088 968 0002 Staatnommer : |
081908
51 |
|
Mej. S. Marais |
Bus 18 |
Wegloop |
081908 |
|
Bankstaat / Belastingfaktuur |
SpaarNou
Rekeningnommer : 12300075 |
|
Besonderhede |
Datum |
Debiete |
Krediete |
Saldo |
Saldo oorgebring |
|
|
|
1,986.32 |
Rente gekapitaliseer |
|
|
|
|
Oorplasing na rekening 223001021 |
04:18 |
800.00- |
|
1,187.98 |
Diensgeld |
04:30 |
19:20- |
|
1,168.78 |
Koers Betaalbaar soos op 1 April 2005 |
|
0.00 − 1,999.00 1% |
2,000.00 − 3,999.00 2% |
4,000.00 − 5,999.00 2.25% |
6,000.00 − 9,999.00 2.5% |
10,000.00 − 49,999.00 3%
| 50,000.00 en meer
3,5% |
|
Rente word maandeliks saamgestel. |
|
|
Kontroleer asseblief alle inskrywings en rapporteer enige verskille |
|
Study the bank statement of a
savings account.
Our Newbank |
P. O. Box 21
Phone: 888 968 0001
May 2, 2005 |
Runaway
Fax: 888 968 0002
Statement number : |
081908
51 |
|
Miss S. Marais |
P. O. Box 18 |
Runaway |
081908 |
|
Bank statement / Tax invoice |
SaveNow
Account number : 12300075 |
|
Details |
Date |
Debits |
Credits |
Balance |
Brought forward |
|
|
|
1,986.32 |
Interest capitalized |
|
|
|
|
Transfer to account 223001021 |
04:18 |
800.00- |
|
1,187.98 |
Service fees |
04:30 |
19:20- |
|
1,168.78 |
Rate as on April 1, 2005 |
|
0.00 − 1,999.00 1% |
2,000.00 − 3,999.00 2% |
4,000.00 − 5,999.00 2.25% |
6,000.00 − 9,999.00 2.5% |
10,000.00 − 49,999.00 3%
| 50,000.00 en meer
3,5% |
|
Interest is compounded monthly. |
|
|
Please check all entries and report any differences. |
|
5.1
Wat is die datum van die faktuur en
wat is die nommer van die staat?
[ A 5.1 ]
5.2
Waarom word kommas en punte
in die bedrae gebruik en wat is
die betekenis daarvan?
[ A 5.2 ]
5.3
Watter rentekoers geld vir
hierdie rekening?
[ A 5.3 ]
5.4
Bereken die rente verdien.
[ A 5.4 ]
5.5
Wat beteken "Rente gekapitaliseer"
[ A 5.5 ]
5.6
Wat is die Saldo na die inskrywing
" Rente gekapitaliseer" ?
[ A 5.6 ]
5.7
Waarom is daar 'n negatiewe teken
na die waardes in die Debiete kolom?
[ A 5.7 ]
5.8
Wat is die Saldo op die
30ste April?
[ A 5.8 ]
5.1
When was the invoice dated and
what is the number of the invoice?
[ A 5.1 ]
5.2
Why are commas and full stops
used in the amounts and what
does it mean?
[ A 5.2 ]
5.3
What is the interest rate for
this account?
[ A 5.3 ]
5.4
Calculate the interest earned.
[ A 5.4 ]
5.5
What is the meaning of
"Interest capitalized"?
[ A 5.5 ]
5.6
What is the Balance after the
entry "Interest capitalized"?
[ A 5.6 ]
5.7
Explain the use of a negative sign
after the amounts in the Debits column.
[ A 5.7 ]
5.8
What is the Balance on April, 30?
[ A 5.8 ]
Bestudeer die bankstaat van
'n lopende / tjek rekening.
Ons Nuwebank |
Bus 21
Foon: 088 968 0001
2 Mei 2005 |
Wegloop
Faks: 088 968 0002
Staatnommer : |
081908
251 |
|
Mej. S. Marais |
Bus 18 |
Wegloop |
081908 |
|
Bankstaat / Belastingfaktuur |
LekkerMaklik
Rekeningnommer : 223001021 |
|
Besonderhede |
Datum |
Debiete |
Krediete |
Saldo |
Saldo oorgebring |
|
|
|
3,814.21− |
ABC Dienste - salaris |
04.01 |
|
7,420.00 |
P |
Premie - lewenspolis |
04.01 |
421.00− |
|
3,184.79 |
Premie - versekering |
04.01 |
318.75− |
|
2,866.04 |
VeiligheidEerste |
04.01 |
216.00− |
|
2,648.04 |
Ons Nuwebank - paaiement op motor |
04.02 |
1,850.00− |
|
798.04 |
Werksaam Motorhawe |
04.05 |
821.00− |
|
S |
LekkerKoop |
04.06 |
2,430.25− |
|
|
Kontant onttrek |
04.10 |
900.00− |
|
3,353.21− |
Werksaam Motorhawe |
04.12 |
212.00− |
|
3,565.21− |
Oorplasing van rekening 12300075 |
04:18 |
|
800.00 |
T |
LekkerKoop |
04.26 |
1,660.55− |
|
|
Diensgeld |
04:30 |
99:00− |
|
4,524.76− |
Rente - oortrokke rekening |
04:30 |
W |
|
X |
Koers Betaalbaar soos op 1 April 2005 |
|
Rente word op oortrokke rekeninge gehef teen 13,5% p.j. en |
word maandeliks saamgestel. |
|
|
Kontroleer asseblief alle inskrywings en rapporteer enige verskille |
|
Study the statement from
a current account.
Our Newbank |
P.O. Box 21
Phone: 088 968 0001
2 May 2005 |
Runaway
Fax: 088 968 0002
Statement : |
081908 number : 251 |
|
Miss S. Marais |
P.O. Box 18 |
Runaway |
081908 |
|
Bank statement / Tax invoice |
VeryEasy
Account number : 223001021 |
|
Details |
Date |
Debits |
Credits |
Balance |
Brought forward |
|
|
|
3,814.21− |
ABC Services - salary |
04.01 |
|
7,420.00 |
P |
Premium - life insurance |
04.01 |
421.00− |
|
3,184.79 |
Premium - insurance |
04.01 |
318.75− |
|
2,866.04 |
SafetyFirst |
04.01 |
216.00− |
|
2,648.04 |
Our Newbank - instalment on car |
04.02 |
1,850.00− |
|
798.04 |
WorkAsATeam Service Station |
04.05 |
821.00− |
|
S |
EasyBuy |
04.06 |
2,430.25− |
|
|
Cash Withdrawn |
04.10 |
900.00− |
|
3,353.21− |
WorkAsATeam Service Station |
04.12 |
212.00− |
|
3,565.21− |
Transfer from Account 12300075 |
04:18 |
|
800.00 |
T |
EasyBuy |
04.26 |
1,660.55− |
|
|
Service Fees |
04:30 |
99:00− |
|
4,524.76− |
Interest - overdrawn account |
04:30 |
W |
|
X |
Rate as on April 1, 2005 |
|
Interest is added to overdrawn accounts at a rate of |
13,5% p.a. and is compounded monthly. |
|
|
Please check all entries and report any differences. |
|
6.1
Wat is die datum en die nommer
van die faktuur?
[ A 6.1 ]
6.2
Waarom word die saldo
oorgebring met 'n negatiewe
teken aangedui?
[ A 6.2 ]
6.3
Waarom word die bedrae in
die Debiete kolom met 'n
negatiewe teken aangedui?
[ A 6.3 ]
6.4
Bereken die saldo nadat ABC
Dienste die salaris inbetaal het.
Wat en waarom is die teken
van die Saldo?
[ A 6.4 ]
6.5
Bereken die saldo op 04:05.
Verduidelik jou antwoord.
[ A 6.5 ]
6.6
Bereken die saldo op 04:06.
[ A 6.6 ]
6.7
Bereken die saldo op 04:18
[ A 6.7 ]
6.8
Bereken die saldo op 04:29te
[ A 6.8 ]
6.9
Bereken die rente op die
oortrokke rekening.
[ A 6.9 ]
6.10
Bereken die saldo op 04:30
[ A 6.10 ]
6.1
What is the date and the number
of the invoice?
[ A 6.1 ]
6.2
Why is the balance brought
forward shown with a
negative sign?
[ A 6.2 ]
6.3
Why do the amounts shown in
the Debits column have a
negative sign?
[ A 6.3 ]
6.4
Calculate the Balance after
ABC Services have paid the salary.
What and why is the sign of
the Balance?
[ A 6.4 ]
6.5
Calculate the Balance on 04:05.
Explain your answer.
[ A 6.5 ]
6.6
Calculate the Balance on 04:06.
[ A 6.6 ]
6.7
Calculate the Balance on 04:18
[ A 6.7 ]
6.8
Calculate the Balance on 04:29
[ A 6.8 ]
6.9
Calculate the interest on the
overdrawn account.
[ A 6.9 ]
6.10
Calculate the Balance on 04:30
[ A 6.10 ]
Bestudeer die kasregisterstrokie hieronder.
Goedkoop Winkel |
Beetfontein |
Foon : 000 010 0203 |
Kassiere: Yolande Bezuidenhout |
|
APPELS ROOI |
17.99 |
# |
APPEL ASYN 375 ml |
12.79 |
|
ROSYNTJIES KEURGRAAD |
18.90 |
|
MIELIES HEELPITTE |
|
|
2 @ 10.99 |
21.98 |
MIELIES VERROOM |
|
|
2 @ 11.99 |
23.98 |
|
VRUGTESAP BESSIES |
14.99 |
|
TUNA IN SOUTWATER |
|
|
2 @ 15.99 |
31.98 |
|
PERSKES GEEL 0.96 KG |
34.56 |
# |
WORTELS LOS 0.75 KG |
11.24 |
# |
AARTAPPLES KLEIN 0.6 KG |
6.00 |
# |
EIERS GROOT 18 PAK |
29.99 |
# |
EIERS GROOT 6 PAK |
9.99 |
# |
NESTLE KIT KAT |
19.99 |
|
SAKKE DRA PLASTIEK 24 l |
|
|
4 @ 0.46 |
1.84 |
|
TOTAAL VERSKULDIG BTW INGESLUIT |
256.22 |
|
AANTAL ITEMS |
20 |
|
- - - - - - - - - - - - - - - - - - - - - - - - - - - |
- - - |
- |
BTW INGESLUIT |
17.98 |
|
# VRYGESTEL VAN BTW |
|
|
|
|
Study the following till slip.
Cheapest Shop |
Beet Waters |
Phone : 000 010 0203 |
Cashier: Melissa Brown |
|
APPLES RED |
17.99 |
# |
APPLE VINEGAR 375 ml |
12.79 |
|
RAISINS CHOICE GRADE |
18.90 |
|
SWEETCORN WHOLE KERNEL |
|
|
2 @ 10.99 |
21.98 |
SWEETCORN CREAM STYLE |
|
|
2 @ 11.99 |
23.98 |
|
FRUIT JUICE BERRIES |
14.99 |
|
TUNA IN BRINE |
|
|
2 @ 15.99 |
31.98 |
|
PEACHES YELLOW 0.96 KG |
34.56 |
# |
CARROTS LOOSE 0.75 KG |
11.24 |
# |
POTATOES SMALL 0.6 KG |
6.00 |
# |
EGGS LARGE 18 PACK |
29.99 |
# |
EGGS LARGE 6 PACK |
9.99 |
# |
NESTLE KIT KAT |
19.99 |
|
CARRY BAGS PLASTIC 24 l |
|
|
4 @ 0.46 |
1.84 |
|
BALANCE DUE VAT INCLUDED |
256.22 |
|
NUMBER OF ITEMS |
20 |
|
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
- - - |
- |
VAT INCLUDED |
17.98 |
|
# VAT FREE, ZERO RATED |
|
|
|
|
7.1
Hoeveel items is gekoop?
[ A 7.1 ]
7.2
Hoeveel plastiek dra sakke
is gekoop?
[ A 7.2 ]
7.3
Wat is die volume van die sakke?
[ A 7.3 ]
7.4
Hoeveel items wat van BTW
vrygestel is, is gekoop?
[ A 7.4 ]
7.5
Wat is die waarde van die
items in 7.4?
[ A 7.5 ]
7.6
Wat is die waarde van die items
waarop BTW betaal is?
[ A 7.6 ]
7.7
Wat is die prys van 1 blikkie
heelpit mielies?
[ A 7.7 ]
7.8
Wat kos geel perskes per
kilogram?
[ A 7.8 ]
7.9
Watter verpakking van eiers is
die goedkoopste - die 18 eiers
per pak of die 6 eiers per pak?
Toon al jou berekeninge.
[ A 7.9 ]
7.10
Wat sal 'n pak van 3 kg wortels
kos teen dieselfde prys per kg
as die los wortels?
[ A 7.10 ]
7.1
How many items were bought?
[ A 7.1 ]
7.2
How many plastic carry bags
were bought?
[ A 7.2 ]
7.3
What is the volume of the bags?
[ A 7.3 ]
7.4
How many items that are VAT
free were bought?
[ A 7.4 ]
7.5
What is the value of the items in 7.4?
items in 7.4?
[ A 7.5 ]
7.6
What is the value of the items
on which VAT is paid?
[ A 7.6 ]
7.7
What is the price of 1 tin of
whole kernel sweet corn?
[ A 7.7 ]
7.8
What is the price of yellow
peaches per kilogram?
[ A 7.8 ]
7.9
Which packaging of eggs is
the cheaper - the 18 eggs
per pack or the 6 eggs per pack?
Show all your calcuations.
[ A 7.9 ]
7.10
What will a 3 kg pack of carrots
cost at the same price per kg as
that of the loose carrots?
[ A 7.10 ]
'n Selfoon maatskappy het 'n kontrak
waar die koste R 0,50 per minuut is.
8.1
Voltooi die tabel hieronder :
[ A 8.1 ]
A cellphone company has a contract
where the cost is R0,50 per minute.
8.1
Complete the table below :
[ A 8.1 ]
Tyd / Time (minute / minutes) |
0 |
10 |
50 |
200 |
250 |
300 |
400 |
Koste / Cost (R) |
|
|
|
|
|
|
|
8.2
Is die koste direk eweredig aan die tyd?
Gee 'n rede. Watter vorm sal die grafiek
wat die data voorstel, besit?
[ A 8.2 ]
8.3
Trek 'n grafiek om die data voor te stel.
[ A 8.3 ]
8.4
Gebruik die letters A, B, C en D om
die punte waar jy die volgende
aflesings sal maak, te merk.
Noteer die afgeleesde waardes.
8.4.1
koste as tyd = 100 minute [ A ]
[ A 8.4.1 ]
8.4.2
tyd as koste = R100 [ B ]
[ A 8.4.2 ]
8.4.3
koste as tyd = 150 minute [ C ]
[ A 8.4.3 ]
8.4.4
tyd as koste = R125 [ D ]
[ A 8.4.4 ]
8.5
Die maaatskappy verhoog nou
die koste na R0,75 per minuut.
Hoe moet jy jou grafiek verander
om die nuwe koste te vertoon?
Trek nou op dieselfde assestelsel
die grafiek wat die koste
teen R0,75 voorstel.
[ A 8.5 ]
8.2
Is cost directly proportional to time?
Give a reason. What shape will
the graph that represents the data have?
[ A 8.2 ]
8.3
Draw a graph to represent the data.
[ A 8.3 ]
8.4
Use the letters A, B, C and D to mark
the points where you will make the
following readings. Write down
the value that you have read.
8.4.1
cost if time = 100 minutes [ A ]
[ A 8.4.1 ]
8.4.2
time if cost = R100 [ B ]
[ A 8.4.2 ]
8.4.3
cost if time = 150 minutes [ C ]
[ A 8.4.3 ]
8.4.4
time if cost = R125 [ D ]
[ A 8.4.4 ]
8.5
The company now increases the
cost to R0,75 per minute.
How must you change your graph
to show the new cost? Now draw
on the same system of axes the
graph that represents the cost at R0,75.
[ A 8.5 ]
Vraag / Question 9
Die grafiek hierbo verteenwoordig
die koste van 'n selfoon kontrak.
A is die punt (400 ; 210)
9.1
Waar begin die grafiek? Gee
rede vir jou antwoord.
[ A 9.1 ]
9.2
Skat die volgende waardes :
9.2.1
die koste as tyd = 100 minute.
[ A 9.2.1 ]
9.2.2
die tyd as die koste = R100
[ A 9.2.2 ]
9.2.3
die koste as tyd = 150 minute.
[ A 9.2.3 ]
9.2.4
die tyd as die koste = R178
[ A 9.2.4 ]
9.3
Bereken die koste per minuut as
dit gegee word dat die koste = R150
as tyd = 250 minute.
[ A 9.3 ]
9.4
Gebruik die resultaat in 10.3 om
jou antwoorde in 10.2 te kontroleer.
[ A 9.4 ]
The accompanying graph represents the
cost of a cell phone contract.
A is the point (400 ; 210)
9.1
Where does the graph start? Give a
reason for your answer.
[ A 9.1 ]
9.2
Estimate the following values :
9.2.1
the cost if time = 100 minutes.
[ A 9.2.1 ]
9.2.2
the time if cost = R100
[ A 9.2.2 ]
9.2.3
the cost if time = 150 minutes.
[ A 9.2.3 ]
9.2.4
the time if cost = R178
[ A 9.2.4 ]
9.3
Calculate the cost per minute if
it is given that the cost = R150
if time = 250 minutes.
[ A 9.3 ]
9.4
Use the result in 10.3 to check
your answers in 10.2.
[ A 9.4 ]
Vraag / Question 10
Die grafiek hierbo verteenwoordig
die koste van 'n selfoon kontrak.
10.1
Waar begin die grafiek? Gee
rede vir jou antwoord.
[ A 10.1 ]
10.2
Verduidelik die vorm van die
grafiek vanaf A na B.
[ A 10.2 ]
10.3
Verduidelik die vorm van die
grafiek vanaf B na C.
[ A 10.3 ]
10.4
Skat die volgende waardes :
10.4.1
koste as tyd = 80 minute.
[ A 10.4.1 ]
10.4.2
tyd as koste = R80
[ A 10.4.2 ]
10.4.3
koste as tyd = 250 minute.
[ A 10.4.3 ]
10.4.4
tyd as koste = R175
[ A 10.4.4 ]
10.5
Bereken die koste per minuut
as dit gegee is dat die
koste = R200 as tyd = 400 minute.
[ A 10.5 ]
10.6
Gebruik die resultaat in 11.5 om
jou antwoorde in 11.4 te verifieer.
[ A 10.6 ]
The accompanying graph represents
the cost of a cell phone contract.
10.1
Where does the graph start?
Give a reason for your answer.
[ A 10.1 ]
10.2
Explain the form of the graph
from A to B.
[ A 10.2 ]
10.3
Explain the form of the graph
from B to C.
[ A 10.3 ]
10.4
Estimate the following values :
10.4.1
cost if time = 80 minutes.
[ A 10.4.1 ]
10.4.2
time if cost = R80
[ A 10.4.2 ]
10.4.3
cost if time = 250 minutes.
[ A 10.4.3 ]
10.4.4
time if cost = R175
[ A 10.4.4 ]
10.5
Calculate the cost per minute
if it is given that the
cost = R200 if time = 400 minutes.
[ A 10.5 ]
10.6
Use the result in 11.5 to check
your answers in 11.4.
[ A 10.6 ]
Vraag / Question 11
Die grafiek hierbo verteenwoordig
die koste van 2 selfoon kontrakte.
11.1
Waarom begin die grafiek
van kontrak A nie by 0 nie?
[ A 11.1 ]
11.2
Wat is die koste om 100 minute
te gebruik op albei kontrakte?
[ A 11.2 ]
11.3
Hoeveel minute kan op albei
kontrakte gebruik word vir
'n koste van R200?
[ A 11.3 ]
11.4
Toon aan dat die koördinate
van punt R (250 ; 150) is.
[ A 11.4 ]
11.5
Toon aan dat die koste per
minuut op kontrak B 60c is.
[ A 11.5 ]
11.6
Toon aan dat die koste per
minuut op kontrak A R0,40 is.
[ A 11.6 ]
11.7
Watter kontrak, A of B, sou
jy aanbeveel vir 'n persoon wat
11.7.1
minder as 200 minute per
maand gebruik? Gee 'n rede.
[ A 11.7.1 ]
11.7.2
meer as 260 minute per
maand gebruik? Gee 'n rede.
[ A 11.7.2 ]
The accompanying graph represents
the cost of 2 cell phone contracts.
11.1
Why does the graph of
contract A not start at 0?
[ A 11.1 ]
11.2
What is the cost to use
100 minutes on both contracts?
[ A 11.2 ]
11.3
How many minutes can be used
on both contracts for a cost of R200?
[ A 11.3 ]
11.4
Show that the co-ordinates
of point R are (250 ; 150).
[ A 11.4 ]
11.5
Show that the cost per
minute of contract B is 60 c
[ A 11.5 ]
11.6
Confirm that the cost per
minute of contract A is R0,40
[ A 11.6 ]
11.7
Which contract, A or B, would
you recommend for a person
who uses
11.7.1
less than 200 minutes per
month? Explain your answer.
[ A 11.7.1 ]
11.7.2
260 or more minutes per
month? Explain your answer.
[ A 11.7.2 ]