Question

A local drive in theatre sells entrance tickets for cars on weekends night. at capacity , the drive in can hold 72 cars . the function c(n)=25n represent the drive in's revenue on a weekend night, where n represents the number of cars. in this situation, what is the domain of c(n)?

Answer 1

0 ≤ n ≤ 72 where n is an integer

Explanation:

Given : C(n) = 25n

To Find: what is the domain of c(n)?

Solution:

Domain of the function is defined as the values of n which we can use to substitute in the equation

Now, in equation C(n) = 25n , n represents the number of cars.

This means that n has to be positive integer because we can neither have negative number of cars nor fraction of a car.

This means , n would start from 0 .

The second thing is that the maximum capacity is 72. This means that n cannot exceed 72 cars in the drive-in

So, we can say that n can be any integer starting from 0 till 72 (inclusive)

Hence our domain is: 0 ≤ n ≤ 72 where n is an integer