Question

10) Two health clubs offer different membership plans. Hank's Health Club has aplan that costs S15 per month, plus a $50 one-time membership fee. Geena's Gymcharges a one-time membership fee of $75, and the monthly rate is $10.a) At how many months will the two plans cost the same?b) If you joined a gym for 6 months, which plan would be cheaper?

Answer 1

A. 5 months

B. after 6 months, Geena's Gym is cheaper.

SOLUTION:

Part A

Hank's: 15x +50

Geena's: 10x+75

we equate these two equation

`\begin{gathered} 15x+50=10x+75 \\ 15x-10x=75-25 \\ 5x=25 \\ x=5 \end{gathered}`

Part B

Substitute x = 6

Hank's: 15(6) +50 = 140

Geena's: 10(6)+75 = 135