topic badge

8.01 Average and instantaneous rates of change

Interactive practice questions

A bucket containing water has a hole through which the water leaks. The graph shows the amount of water remaining in the bucket after a certain number of minutes.

Loading Graph...

a

What is the slope of the line?

b

What does the slope tell you?

The amount of water in the bucket increases by $1$1 litre every $\frac{1}{2}$12 minute.

A

The amount of water in the bucket decreases by $\frac{1}{2}$12 litre every minute.

B

The amount of water in the bucket decreases by $1$1 litre every $\frac{1}{2}$12 minute.

C

The amount of water in the bucket increases by $\frac{1}{2}$12 litre every minute.

D
Easy
3min

The graph shows the cost, in dollars, of a phone call for different call durations.

Easy
2min

The table shows Skye's progress through a four-hour ultramarathon.

Easy
3min

The table shows the linear relationship between the temperature on a particular day and the net profit of a store. Find the rate of change of net profit.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

2.4.1.1

explore average and instantaneous rate of change in a variety of practical contexts

2.4.1.2

use a numerical technique to estimate a limit or an average rate of change

2.4.1.3

examine the behaviour of the difference quotient [𝑓(𝑥+ℎ)−𝑓(𝑥)]/h ℎ as ℎ→0 as an informal introduction to the concept of a limit

2.4.2.1

examine examples of variable rates of change of non-linear functions

2.4.3.1

determine instantaneous rates of change

What is Mathspace

About Mathspace