An electricity company charges the same fixed amount for each unit of electricity used - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 3
Question 8
An electricity company charges the same fixed amount for each unit of electricity used.
David uses this graph to work out the total cost of the electricity he has us... show full transcript
Worked Solution & Example Answer:An electricity company charges the same fixed amount for each unit of electricity used - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 3
Step 1
Work out the gradient of the straight line.
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Answer
To find the gradient of the straight line, we can use two points from the graph.
For example, let's take the points (0, 0) and (100, 20).
The formula for gradient (m) is given by:
m=change in xchange in y=100−020−0=10020=0.2
Thus, the gradient of the line is 0.2.
Step 2
What does the gradient of this line represent?
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Answer
The gradient of this line represents the cost per unit of electricity used. In this case, it indicates that for each additional unit of electricity consumed, the cost increases by £0.20.
