#### Straight line graphs.

1.    The graph shows the mass of grain
that can be harvested from a land of given area.
From the graph read the answers to the following
questions:
1.1    The mass that can be harvested from
1.1.1    10 Ha.
1.1.2    34 Ha.
1.2    The area needed to produce
1.2.1    150 tons.
1.2.2    200 tons.
1.3    What is the smallest area needed to produce
100 tons of grain?
1.4    What is the maximum mass that can be
harvested from 40Ha?

2.    The accompanying graph shows how much
petrol is used to travel a certain distance.
From the graph read the answers to the following
questions:
2.1    How much petrol is needed to travel
2.1.1    70 km?
2.1.2    200 km?
2.2    How far can you travel if you use
2.2.1    5 litres of petrol?
2.2.2    30 litres of petrol?
2.3    What is the average comsumption of petrol
(expressed in litres/100km)?
2.4    Use this number to compute the answers to the
questions in 2.1 and 2.2

3.    The table below shows the time necessary to travel a certain distance.

Distance (km)    170      300      340      420         b      595      786
Time          (h)       2           a          4          5        6,5      7        9,25

distance
3.1    Does the rate    --------------    stay the same? Calculate three rates to confirm your answer.
time

3.2    What will be the form of the graph of distance divided by time? Explain your answer.
3.3    At what average speed does the car travel? Does this average speed remain constant?
3.4    Calculate the value of a and of b in the table.
3.5    Draw a graph of time, on the x-axis, against distance, on the y-axis for a period of time of 9,25 hours.
3.6    From your graph read the answers to the following questions and mark the points where you took
the readings with the letter given in brackets:
3.6.1    The time needed to travel 128 km (A)
3.6.2    The distance travelled in 9 hours. (B)
3.6.3    The maximum distance that can be travelled in 8,25 hours. (C)

4.
The diagram on the right shows the graph
of y = 2x + 3.
4.1
Write down the values of m and of c.
4.2
Write down the coordinates of B and A.
4.3
Do these values correspond with your answers in 1.1?
4.4
Write down the coordinates of P, Q and D.
4.5
Write down the length of PD and of QD.
QD
4.6
Calculate the value of   ------- .
PD
4.7
How does this value agree with the value of m?
4.8
Repeat with the ratio of TV and SV.
4.9
How does this value agree with the value of m?
5.
The diagram on the right shows the graph
of y = 4 - 2x.
5.1
Write down the values of m and of c.
5.2
Calculate the value of m by calculating
FG                 SQ
the values of the ratios   --------   and   --------
DG                 PS
5.3
How do these values compare to that of m?
5.4
Write down the coordinates of A and B.
Draw the following graphs by calculating the intercepts on the axes.
6.
y = x + 3
7.
y = 6 - x
2
8.
y =   ----  x + 1
3
3
9.
y = 2 -   ----  x
4
10.
Calculate the equation of the line passing through the points (0 ; -5) and (2,5 ; 0) and then draw the graph.
11.
Calculate the equation of the line passing through the points (0 ; 5) and (2,5 ; 0) and then draw the graph.
Calculate the equation of the line passing through the points
12.
(-2 ; -10) and (3 ; 20)
13.
(-4 ; 34) and (5 ; -11)
14.
(-5 ; -9) and (15 ; 3)
Calculate the equation of the line passing through the given points and then draw the graph.
15.
A(-1 ; 1) and B(1 ; 7)
16.
A(-1 ; 7) and B(2 ; -2)

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