The graph shows the volume of liquid (L litres) in a container at time t seconds - Edexcel - GCSE Maths - Question 13 - 2018 - Paper 3
Question 13
The graph shows the volume of liquid (L litres) in a container at time t seconds.
(a) Find the gradient of the graph.
(b) Explain what this gradient represents.
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Worked Solution & Example Answer:The graph shows the volume of liquid (L litres) in a container at time t seconds - Edexcel - GCSE Maths - Question 13 - 2018 - Paper 3
Step 1
Find the gradient of the graph.
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Answer
To find the gradient of the graph, use the formula for the gradient:
ext{Gradient} = rac{ ext{Change in Volume}}{ ext{Change in Time}}
From the graph:
The change in volume from 0 L to 16 L occurs over 8 seconds.
Thus:
extGradient=8−016−0=816=2
Therefore, the gradient of the graph is 2 L/s.
Step 2
Explain what this gradient represents.
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Answer
The gradient of the graph represents the rate of change of the volume of liquid in the container with respect to time. In this case, a gradient of 2 L/s indicates that the container is filling with liquid at a rate of 2 litres per second.
Step 3
Explain what this intercept represents.
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Answer
The intercept of the graph occurs at L = 4. This point indicates that at 0 seconds, the volume of liquid in the container is 4 litres. In other words, this is the initial amount of liquid present in the container before any time has passed.
