Two competing bus companies offer weekly travel passes to commuters in the same town. Company A charges \(A = 3j + 8\) and Company B charges \(B = 2j + 15\)...

Assessment: Mathematics Specification A 4MA1 | Paper 2 Mock 01 | Written Paper 2 (2F/2H) Subject: Mathematics Specification A - 4MA1

Question 1 Report

Two competing bus companies offer weekly travel passes to commuters in the same town. Company A charges \(A = 3j + 8\) and Company B charges \(B = 2j + 15\), where \(j\) is the number of journeys made that week, both in pounds.

  1. Work out the cost with Company A for 12 journeys. (2)
  2. Find the value of \(j\) for which both companies charge the same amount. (2)
  3. State, with a reason, which company is cheaper for a passenger who makes 20 journeys in a week. (2)

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