50.2k views
5 votes
A cable company charges $150 per month plus $4 for each movie watched. If Tracie's budget for cable is at most $175, what values represent this function's domain?

User Pabloks
by
8.4k points

1 Answer

3 votes

Answer:

The function's domain is the interval
[0,1,2,3,4,5,6]

Explanation:

Let

x-----> the number of movies watched per month

y----> money charged by the cable company

we know that


y=150+4x


y\leq 175

so


150+4x\leq 175


4x\leq 175-150


4x\leq 25


x\leq 6.25\ movies

therefore

The maximum number of movies per month is equal to
6

The function's domain is the interval
[0,1,2,3,4,5,6]

User Andrew Patterson
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.