Question

A theater group is having a carwash fundraiser. The group can only wash 45 cars with the amount of soap they purchased. Each car is charged $7. The function f(c) = 7c represents the amount of profit they make per car. Which inequality represents its domain?

Answer 1

Answer:

The domain for this function is $c > 0$ where $c \in Z$.

Step-by-step explanation:

The given function is

$f(c)=7c$

Where $c$ represents cars. This function models the profits they make.

Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.

The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.

Therefore, the domain for this function is $c > 0$ where $c \in Z$.

(Notice that we specify that the independent valur can only use whole positive numbers only).