What expression represents the charge for the state park?

Question

The charge for parking at a particular states is A dollars per vehicle plus B dollars per person in the vehicle. What expression represents the charge for 3 vehicles with N people people at the state park?

Answer 1

Assuming that is N people per vehicle:

 

C = VA + NVB

where V = # vehicles

A = cost per vehicle

N = number of people per vehicle

B = cost per person

 

Cost with 3 vehicles with N people per vehicle

 

C = 3A + 3NB = 3(A + NB)

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If there are a total of N people, instead of N people per vehicle:

 

C = 3A + NB