Question

5. Jackson wants to choose between two gym membership plans. Plan A: $50 one-time membership fee and $10 per month. equation: ______________________ Plan B: costs $25 one-time membership fee and $15 per month. equation: ______________________ After 8 months, which gym membership plan is the better deal?

Answer 1

Let x be the months after starting a membership, then we can set the following equations for each plan:

A:

`Totalcost_A=50+10x\text{.}`

B:

`Totalcost^{}_B=25+15x\text{.}`

Evaluating each equation at x=8 we get:

`\begin{gathered} \text{Totalcost}_A=50+10*8=50+80=130, \\ \text{Totalcost}_B=25+15*8=25+120=145. \end{gathered}`

Therefore, after 8 months Plan B will cost Jackson $145 and Plan A $130.

Answer: Plan A.