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Question 1 of 8

Calculator allowed

A fictional order has a fixed charge of $29 plus $4 for each item. There are no other charges

Let \(n\) be the number of items and \(C\) the total charge in dollars. The stated rule includes the fixed charge when the item count is zero

Use this model only for \(0\le n\le 28\), with whole-number item counts only

Required output, measured in dollars: \(C=137\)

Separately test whether \(n=45/2\) is allowed by the stated input domain

(a)2 marks

Construct \(C=b+mn\) by entering its initial value \(b\) and signed rate \(m\)

(b)1 mark

Find the input giving the required output, in items

(c)1 mark

Is the separate test input \(n=45/2\) allowed by this model?