Answer:
8 months
Step-by-step explanation:
In this problem we must first of all write the inequality that describes the problem.
Given that
1. you have a limit of $400
2. there is an initial fee of $50
3. monthly payment is $45
let the number of months be n
therefore
[tex]50+45n\leq 400\\\\45n\leq 400-50\\\\45n\leq350[/tex]
Divide both sides by 45 we have
[tex]n\leq \frac{350}{45} \\\\n=\frac{70}{9} \\\\n= 7.77\\\\[/tex]
approximately you are going to be member for 8 months
