Question

To join a gym, you pay a one-time fee of $75 and $45 per month for the duration of the membership. You have paid a total of $345. How long have you been a member of the gym?

Answer 1

You have been a member for 6 months.

Explanation:

Let `x=` the number of months you've been a member.

The total variable cost is `x` multiplied by the monthly fee of $45.
The fixed cost is $75.
The total cost is then `45x+75`, which equals $345#.

Then the equation will be

`45x +75=345`

`color(white)(aaa)-75color(white)(a)-75color(white)(aaa)`Subtract 75 from both sides

`color(white)(aa)45xcolor(white)(a)=color(white)(a)270`

`color(white)(aa)(45x)/45color(white)a=color(white)a270/45color(white)(aaa)`Divide both sides by 45

`color(white)(aaa)xcolor(white)a=color(white)a6` months