Sasha wants to join a local gym. Stay Fit charges $30 each month and $140 initiation fee. Beat The Bulge charges $50 each month and no initiation fee. How many months of membership is needed to prove which gym is better. PLEASE HELP IM SO FRUSTRATED

after 8 months it becomes clear that Stay Fit is the better gym.

Step-by-step explanation:

i set up a chart like this.

STAY FIT                      -                      BEAT THE BULGE

      $140 FEE                                     $0 FEE

1.       $170                        -    1.    $50

2.       $200                     -    2.    $100

3.       $230                      -    3.    $150

4.       $260                      -    4.    $200

5.       $290                       -   5.    $250

6.       $320                      -    6.    $300

7.       $350                       -    7.    $350

8.       $380                       -    8.    $400

9.       $410                        -    9.    $450

10.     $440                        -    10.   $500

11.      $470                         -    11.    $550

12.     $500                        -    12.    $600

13.     $530                        -    13.    $650

14.     $560                        -    14.    $700

15.     $590                        -    15.    $750

as you can see, after paying for 8 months the stay fit gym is cheaper, making it the better gym. hope i helped i spent 10 min writing this out then typing it haha