Question

at a local gym you can either pay $90 for money pass then pay for dollars each time you go to the gym or you can pay $13 each time you go with no monthly pass fee what is the cost where the two options are the same?

Answer 1

Option A

$90 + $4 each time

Option B

$13 each time

Procedure

Equations

`\begin{gathered} (1)\to C=90+4t \\ (2)\to C=13t_{} \\ \\ 90+4t=13t \\ 13t-4t=90 \\ 9t=90 \\ t=(90)/(9) \\ t=10 \end{gathered}`

The cost would be

`\begin{gathered} C=90+4\cdot10 \\ C=90+40 \\ C=130 \end{gathered}`

The answer would be $130