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?

1 Answer
PJ
Aug 2, 2018

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.

Related questions
See all questions in Linear, Exponential, and Quadratic Models
Impact of this question
5561 views around the world
You can reuse this answer
Creative Commons License