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2 marksSubstitution in Algebraic Expressions

CSEC Mathematics · January 2015 · Paper 2 · Question 4(a)

An electrician charges a fixed fee for a house visit plus an additional charge based on the length of time spent on the job. The total charges, y, are calculated using the equation y = 40x + 75, where x represents the time in hours spent on the job.

Complete the table of values for the equation y = 40x + 75.

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Other parts of this question

  1. 4(b)On the grid on page 13, using a scale of 2 cm to represent one hour on the x-axis and 2 cm to represent 50 dollars on the y-axis, plot the 7 pairs of values…[5 marks]
  2. 4(c)(i)Using your graph, determine the total charges when the job took 4.5 hours. Draw lines on your graph to show how the values for (c)(i) and (c)(ii) were obtained.[2 marks]
  3. 4(c)(ii)Using your graph, determine the time, in hours, spent on a job if the total charges were…[2 marks]
  4. 4(c)(iii)Using your graph, determine the fixed charge for a visit.[1 mark]

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