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.

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