1.

The accompanying
diagram shows the

graph of xy = 8

1.1

What is
the relationship

between
x and y? Explain.

1.2

What happens
to the value of y

if x becomes
bigger?

1.3

How do the
values of one variable change

if the other variable becomes smaller?

1.4

What is
the value of

1.4.1

y if x = 2?

1.4.2

x if y = 4?

1.4.3

y if x = 1,6?

1.4.4

x if y = 20?

1.4.5

y if x = 0?

1.4.6

x if y = 0?

1.5

Explain your
answers in 1.4. 5 and 1.4.6

1.6

What are the
intercepts on the axes?

2.

Cookies are given
equally to children. There are 40 cookies that can be given.

2.1

Complete
the table below:

Number of cookies | 1 | 2 | 4 | b | 8 | 10 | d | 40 |

Number of children | 40 | 20 | a | 8 | 5 | c | 2 | 1 |

2.2

What
relationship is there between number of cookies given and number of children? Explain.

2.3

What
shape will the graph have? Explain

2.4

Draw the
graph with number of cookies on the x-axis and number of children on the y-axis.

2.5

Does the
shape of the graph correspond to your prediction in 2.3?

2.6

How many
children can get 6 cookies each? Is this an acceptable answer? Explain.

3.

The table
below shows the volume of a gas at a certain pressure and at a constant temperature.

Pressure, p (in kPa) | 48 | 60 | 80 | b | 120 | 160 |

Volume, V (in cubic cm) | 100 | 80 | a | 48 | 40 | c |

3.1

Calculate the
values of a, b and c.

3.2

Write down in
words and symbols, the relationship between pressure and volume and give a reason.

3.3

What will the
shape of the graph be? Explain.

3.4

Can p or V
become equal to 0? Explain.

3.5

Draw the
graph with pressure on the x-axis and volume on the y-axis.

3.6

The maximum
volume that the container can have is 1 200 cubic cm. What will the pressure in the

container be?

3.7

What is
the minimum volume of the container if the maximum pressure is 200 kPa?

4.

The table below
shows the time taken to drive a certain distance at different speeds.

Speed, v (in km/h) | 10 | 15 | 20 | b | 60 | 100 |

Time, t (in h) | 6 | 4 | a | 2 | 1 | c |

4.1

Complete
the table by calculating the values of the unknowns.

4.2

What, do you
think, is the relationship between the speed and the time taken?

Explain
your reasoning. Also write the relationship using the symbols in the table.

4.3

Use your answer
in 4.2 to predict the shape of the graph of time on the x-axis and speed

on the y-axis.

4.4

Draw the
graph with time on the x-axis and speed on the y-axis.

4.5

Does the
shape of the graph confirm your answer in 4.3?

4.6

Use the
graph to find the value of

4.6.1

t if v = 80
and if v = 200

4.6.2

v if t = 0,1
and if t = 6

4.7

Will the
use of a solid line represent the data well? Explain your answer.