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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
3min

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

Easy
2min

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

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
1min
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0580E2.12

Estimate gradients of curves by drawing tangents.

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