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The graph gives the volume of water, in litres, in a container at time / seconds after the water started to flow out of the container - Edexcel - GCSE Maths - Question 16 - 2021 - Paper 3

Question 16

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The graph gives the volume of water, in litres, in a container at time / 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 / seconds after the water started to flow out of the container - Edexcel - GCSE Maths - Question 16 - 2021 - Paper 3

Step 1

Identify the Volume at t = 12 seconds

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Answer

First, locate $t = 12$ seconds on the x-axis of the graph. Draw a vertical line up to the curve to find the corresponding volume. Estimate the volume at this point, which is approximately 30 litres.

Step 2

Find the Volume at t = 13 seconds

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Answer

Next, locate $t = 13$ seconds on the x-axis. Estimate the volume at this point, which appears to be approximately 28 litres.

Step 3

Calculate the Rate of Flow

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Answer

To find the rate at which the water is flowing out, use the formula for rate of change:

$ext{Rate} = \frac{\Delta V}{\Delta t} = \frac{V_{t=13} - V_{t=12}}{t_{13} - t_{12}} = \frac{28 - 30}{1} = -2 ext{ litres per second}.$ Since we're interested in the absolute value for the flow rate, the estimated rate is approximately 2 litres per second.

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