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?

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?

1 Answer

Impact of this question

6856 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-22T03:12:53

You have been a member for 6 months.

Explanation:

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

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

Then the equation will be

$45 x + 75 = 345$ $45x +75=345$

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

$a a 45 x a = a 270$ $color(white)(aa)45xcolor(white)(a)=color(white)(a)270$

$a a \frac{45 x}{45} a = a \frac{270}{45} a a a$ $color(white)(aa)(45x)/45color(white)a=color(white)a270/45color(white)(aaa)$ Divide both sides by 45

$a a a x a = a 6$ $color(white)(aaa)xcolor(white)a=color(white)a6$ months

Science

Math

Humanities

... and beyond

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?

1 Answer

Explanation:

Related questions

Impact of this question