The graph shows the volume of liquid (L litres) in a container at time t seconds - Edexcel - GCSE Maths - Question 15 - 2018 - Paper 3
Question 15
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.
(... show full transcript
Worked Solution & Example Answer:The graph shows the volume of liquid (L litres) in a container at time t seconds - Edexcel - GCSE Maths - Question 15 - 2018 - Paper 3
Step 1
Find the gradient of the graph:
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Answer
To find the gradient of the graph, we use the slope formula:
ext{Gradient} = rac{ ext{change in volume}}{ ext{change in time}} = rac{ ext{16 L - 0 L}}{ ext{8 s - 0 s}} = rac{16}{8} = 2 ext{ L/s}
Thus, the gradient of the graph is 2 L/s.
Step 2
Explain what this gradient represents.
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Answer
The gradient of 2 L/s represents the rate at which the volume of liquid in the container is increasing with respect to time. In this context, it indicates that the container fills up at a rate of 2 litres per second.
Step 3
Explain what this intercept represents.
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Answer
The intercept at L = 4 represents the volume of liquid in the container at the starting time, which is when time t = 0 seconds. This means there were 4 litres of liquid in the container at that initial moment.
