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

Answer:

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

Step-by-step 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 $[0,1,2,3,4,5,6]$