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The graph shows the cost of electricity with Company A - OCR - GCSE Maths - Question 3 - 2020 - Paper 6
Question 3
The graph shows the cost of electricity with Company A. (a) Use the information in the graph to estimate the cost of electricity for a customer who uses 450 kWh of ... show full transcript
Worked Solution & Example Answer:The graph shows the cost of electricity with Company A - OCR - GCSE Maths - Question 3 - 2020 - Paper 6
Step 1
Use the information in the graph to estimate the cost of electricity for a customer who uses 450 kWh of electricity.
Answer
To estimate the cost for 450 kWh, locate the point that corresponds to 450 kWh on the x-axis. From the graph, draw a vertical line up to intersect the line representing Company A's cost. Read the cost value on the y-axis at this intersection point. Based on the graph, the estimated cost for 450 kWh is approximately £55.50.
Step 2
If Company B's cost of electricity was plotted on the same axes as Company A's cost of electricity, which line would be steeper? Explain how you know.
Answer
Company B would have the steeper line because they charge 14.3 pence per kWh, which translates to £0.143 per kWh. In contrast, the cost from Company A increases at a lower rate per kWh as observed in the graph. With Company B's rates being consistently higher, their slope would be steeper on the graph, indicating a higher cost for each kWh used.