The graph gives information about the volume, v litres, of petrol in the tank of Jim’s car after it has travelled a distance of d kilometres - Edexcel - GCSE Maths - Question 13 - 2020 - Paper 2
Question 13
The graph gives information about the volume, v litres, of petrol in the tank of Jim’s car after it has travelled a distance of d kilometres.
(a) Find the gradient ... show full transcript
Worked Solution & Example Answer:The graph gives information about the volume, v litres, of petrol in the tank of Jim’s car after it has travelled a distance of d kilometres - Edexcel - GCSE Maths - Question 13 - 2020 - Paper 2
Step 1
Find the gradient of the graph.
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Answer
To find the gradient of the graph, we can use two points on the line. Let’s choose the points (0, 30) and (300, 0). The gradient (m) can be calculated using the formula:
m=change in xchange in y=300−00−30=300−30=−0.1
Step 2
Interpret what the gradient of the graph represents.
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Answer
The gradient of the graph, -0.1, indicates the rate at which the volume of petrol decreases as the distance travelled increases. This means for every 100 kilometres Jim’s car travels, approximately 10 litres of petrol is consumed. Therefore, the car uses 10 litres of petrol for every 100 kilometres driven.
