Question

a movie rental store charges a membership fee of $10.00 plus $1.50 per movie. What is a possible domain that shows the cost to a member of renting movies?

Answer 1

The possible domain that shows the cost to a member of renting movies is all integers zero or greater than zero. 

Answer 2

The domain would be the set of all positive integers including 0.

Explanation:

Given,

The membership fee = $ 10.00,

Charges for a movie = $ 1.50,

Thus, the total cost for renting x movies = ( 10.00 + 1.50x ) dollars,

If C(x) represents the total cost to a member of renting movies,

`\implies C(x)=(10.00+1.50x)`

Since, the number of movie can not be negative or a fraction,

⇒ The value of x must be an integer including 0,

Also, domain of a function is the set of all possible value of input values,

Thus, the domain of the function C(x) is the set of all integers include 0.