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A van hire firm works out the cost with the rule C = 0.42d + 35, where C is the cost in pounds and d is the distance driven in kilometres. What does the 35 stand for?
AThe cost before any distance has been driven
BThe cost of each kilometre driven in the van
CThe kilometres included before charging starts
DThe saving made by hiring for a whole week
Answer & Solution
Correct answer: A. The cost before any distance has been driven
1. In a rule of the form output = rate times input plus starting value, the number added on its own is the starting value.
2. Setting d to 0 kilometres leaves C = 35, so 35 pounds is charged before a single kilometre is driven.
3. The 0.42 is the amount added for each kilometre, so option B swaps the two numbers round.
4. So the 35 is the cost before any distance is driven, option A.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.1 Linear Functions_
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