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Hiro and Taylor are both electricians - OCR - GCSE Maths - Question 22 - 2023 - Paper 1
Question 22
Hiro and Taylor are both electricians. Hiro does not charge to visit a house but charges a fixed rate per hour for the work needed. This graph shows the relationship... show full transcript
Worked Solution & Example Answer:Hiro and Taylor are both electricians - OCR - GCSE Maths - Question 22 - 2023 - Paper 1
Step 1
Explain how this graph shows that Hiro’s total charge is directly proportional to the hours worked.
Answer
The graph illustrates a straight line that originates from the origin (0,0). This indicates that there is no charge when no hours are worked, reflecting a direct relationship. As the hours worked increase, the total charge increases linearly. Thus, Hiro's total charge is directly proportional to the hours worked, demonstrating that if he works twice the hours, he earns twice the total charge.
Step 2
Draw a graph to show the relationship between the hours worked and the total charge made by Taylor.
Answer
To represent Taylor's charges, draw another line starting from a point above the origin on the total charge axis, such as (0, C), where C is the fixed charge for visiting the house. The line should have a similar slope to Hiro's line, reflecting the same fixed rate per hour, continuing indefinitely as the hours worked increase. This indicates that Taylor charges a fixed fee plus an hourly rate for work, signifying that even with no hours worked, a charge is incurred.