Question

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

Answer 1

If cost `= 1.5x` dollars, where `x` is an integer then the domain is:

`0 <= x <=`maximum number of simultaneously hired movies allowed per member.

Explanation:

Cost (`y`) of renting movies depends on how many movies are rented (`x`). For a member, the $10 membership fee has already been paid, so

`y = 1.50x` dollars.

The domain is the complete set of possible values for `x`.

It is possible for `x` to be `0`, but not negative, so the lower limit is `x = 0`.

It is possible for a member to hire the maximum number of simultaneously hired movies allowed per member.
(This will vary between stores, so we can't put a fixed value on it.)

The maximum possible value of `x` is therefore the maximum number of simultaneously hired movies allowed per member.