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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 17 - 2020 - Paper 2
Question 17
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 17 - 2020 - Paper 2
Step 1
Find the gradient of the graph.
Answer
To find the gradient of the graph, we use the formula for gradient, which is given by:
ext{Gradient} = rac{ ext{Change in Volume}}{ ext{Change in Distance}}
From the graph, we can observe two points:
- Point A: (0 km, 30 litres)
- Point B: (300 km, 0 litres)
Now, we calculate the change in volume and change in distance:
- Change in Volume = 0 - 30 = -30 litres
- Change in Distance = 300 - 0 = 300 km
Thus, the gradient becomes:
ext{Gradient} = rac{-30}{300} = -0.1
Step 2
Interpret what the gradient of the graph represents.
Answer
The gradient of the graph, which is -0.1, indicates the rate at which the volume of petrol decreases with respect to distance traveled.
Specifically, this means that for every 1 kilometer that Jim's car travels, the volume of petrol decreases by 0.1 litres. This information is crucial for understanding fuel consumption and planning journeys.