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The graph gives the volume of water, in litres, in a container at time t seconds after the water started to flow out of the container - Edexcel - GCSE Maths - Question 16 - 2021 - Paper 3
Question 16
The graph gives the volume of water, in litres, in a container at time t seconds after the water started to flow out of the container. Using the graph, work out an ... show full transcript
Worked Solution & Example Answer:The graph gives the volume of water, in litres, in a container at time t seconds after the water started to flow out of the container - Edexcel - GCSE Maths - Question 16 - 2021 - Paper 3
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Step 3
Calculating the rate of change
Answer
We can now compute the average rate of change of volume over the interval from ( t = 11 ) to ( t = 13 ):
[ \text{Rate} = \frac{\text{Change in Volume}}{\text{Change in Time}} = \frac{28 - 34}{13 - 11} = \frac{-6}{2} = -3 \text{ litres per second} ]
Thus, the estimated rate at which the water is flowing out of the container at ( t = 12 ) seconds is approximately 3 litres per second.