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iGCSE (2021 Edition)

26.01 Rates of change (Extended)

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.

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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
3 min

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

Easy
2 min

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
2 min

The graph shows the recorded temperatures at various hours after midnight in Antarctica.

Find the rate of change in the temperature between point $B$B and point $C$C.

Easy
1 min
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0580E2.12

Estimate gradients of curves by drawing tangents.

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