It costs $3 per hour to park in a parking lot, with a maximum cost of $12.
explain why the amount of time a car is parked is not a function of the parking cost

The amount of time a car is parked is not a function of parking cost since the cost of parking cannot exceed the maximum amount of  $12 no matter how long the car is parked in the lot.

Given:

the rate of cost of parking in a lot, R = $3 per hour

maximum cost of parking in a lot, C = $12

To explain:

The cost of parking in a lot can be calculated as;

Cost = cost rate x time

let the time = t

Cost = 3t

        Cost = 3 x 1 = $3

        Cost = 3 x 2 = $6

        Cost = 3 x 3 = $9

        Cost = 3 x 4 = $12

        Cost = 3 x 5 = $15  

(notice, $15 has exceeded $12, but the maximum cost has to be $12)

Thus, time is not a function of cost of parking since the maximum cost cannot exceed $12 no matter how long the car is parked in the lot.

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It is not a function because there is a maximum.

Step-by-step explanation:

With 12 as the maximum it will not go on forever and functions do.