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General Mathematics ยท Unit 1 ยท Linear equations and their graphs ยท Straight-line graphs

Construct a straight-line graph using a linear function of the form, ๐‘ฆ = ๐‘š๐‘ฅ + ๐‘ where ๐‘š is slope (gradient) and ๐‘ is ๐‘ฆ-intercept.

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Question 1

A heating engineer charges a call-out fee plus an hourly rate for each job. The table below shows the total cost for jobs of different durations. Construct a straight-line graph to display the relationship between job duration and total cost on the grid provided, showing: (a) the linear function in the form \(y = mx + c\) [2 marks] (b) the graph with appropriate scaling and labelling of axes [2 marks]

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Construct and analyse a straight-line graph to model a given linear relationship, e.g. modelling the cost of filling a fuel tank of a car against the number of litres of petrol required.
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