Question

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?

Answer 1

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]`