G8. 11.4 Interpreting graphs

Cambridge Lower Secondary Matheatics
Chapter 11.4 Interpreting graphs

This graph shows the fares charged by two different taxis.

Each taxi has a fixed charge and a charge per kilometre.

1. How much does each taxi charge for a journey of 7 km?

2. Find the fixed charge for each taxi.

3. Find the charge per kilometre for each taxi.

4. What distance will cost the same amount in either taxi?

Fill in the Blanks

How far from the Bus Station did the buses pass each other?

Ans :

km

Fill in the Blanks

How long did each bus stop for?

Ans :

(minutes)

Fill in the Blanks

How far had Bus B been travelling before it stopped?

ANS :

km

Multiple Choice

Who ran at the same speed for 10 km?

• Sachita

• Anandhu

Multiple Choice

Who won the race?

• Sachita

• Anandhu

Fill in the Blanks

What would you predict the water level to have been at 1800?

Ans : _ m

Fill in the Blanks

How much longer had Zalika been cycling than Tanesha when they had both travelled 30 km?

ANS :

minutes

Fill in the Blanks

What is the difference between the fares charged by each company for a journey of 8 km?

Answer : $ _

Multiple Choice

Which company is cheaper for a journey of 7 km?

• Taxi A

• Taxi B

Review Chapter 11

Fill in the Blanks

The cost of a holiday is $200 for travel plus $150 per night for a hotel.

Work out the cost of a 7-night holiday.

ANS : $

Draw

The cost of a holiday is $200 for travel plus $150 per night for a hotel.

A holiday that lasts n nights costs $c.

Write a function for c in terms of n.

Draw

The perimeter of this shape is p cm.

Write a function for p in terms of w.

Draw

Complete the table of values.

Draw

Find the gradient and the y-intercept of the line y = 3x + 6

Draw

Write the equation of a line parallel to y = 3x + 6 that passes through the origin.

Multiple Choice

Here is the equation of a line: y = 12 − 2x

Where does the line cross the y-axis?

• At (0, 12)

• At (12, 0)

• At (0, 6)

• At (6, 0)

Multiple Choice

Here is the equation of a line: y = 12 − 2x

What is the gradient of the line?

• 2

• -2

• 12

• 6

Dropdown

Describe how the depth in flask 1 is changing. Initially, the depth is ​

Select answer

cm. It increases for ​

Select answer

minutes at a rate of ​ ​

Select answer

​ cm per minute until the depth is ​ ​​

Select answer

 cm. The depth does not change after that.

Fill in the Blanks

When do the two flasks have the same depth of water?

Ans : After _ minutes

Multiple Choice

The depth of water in flask 2 is d  cm after t minutes.

Choose the correct equation of the line for flask 2.

• d = 5t + 30  

• d = 6t + 30  

• d = 30 − 5t

• d = 30 − 6t