Question

Part A: Mike wants to join a gym. He has to pay an initiation fee of $16 and equal monthly payments for the year. The most he wants to pay is $580 for the year for his gym membership. a.) Write an inequality that you can use to determine the most he would want to spend for his monthly payments.

Part B: Now use your inequality from 15a to determine how much Mike’s monthly gym payment can be if the most he wants to pay is $580 for the year for his gym membership..

Answer 1

Part A:
`12x+16\leq 580`

Part B: $47 per month

Explanation:

Part A: 12 months in a year. Pays x amount of $ per year, with an additional $16 initiation fee. He wants to spend less than $580 total a year. Thus,
`12x+16\leq 580`.

Part B: Solve the inequality for x.

$580 - $16 = $564

x = $564/12 = $47

Hope this helps! :)