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1.6 C: Coordinate geometry in the (x, y) plane

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Question 51

A plumber charges a fixed call-out fee plus a fixed hourly rate for the time spent on a job.

A job lasting 2 hours costs £115.

A job lasting 5 hours costs £250.

The plumber's charge, £CCC, for a job lasting t t\,t hours is modelled by a straight line.

a.

Find an equation for C C\,C in terms of ttt.

[3]
b.

Interpret the gradient and the vertical intercept of your model in the context of the question.

[2]
Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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