Question

Brett is joining a new gym. He can join Power Plus or Heavy Hulk. At Power Plus, it will cost $34.45 per month, plus a sign-up fee of $22.00. At Heavy Hulk, it will cost $34.70, plus a sign-up fee of $34.50. Right now, Heavy Hulk is cutting their sign-up fee in half for new members. If Brett signs up at a gym today, after how many months will the cost of the memberships be the same?
A.
12.25
B.
19
C.
50
D.
The cost will never be the same.

Answer 1

Answer:

B.) 19 months

Step-by-step explanation:

Power Plus:

x represents the months

34.45x + 22

Heavy Hulk:

34.70x + 34.50/2

34.70x + 17.25

Solution:

34.70x + 17.25 =  34.45x + 22

-34.45x                -34.45x

.25x + 17.25 = 22

       -17.25    -17.25

.25x = 4.75

÷ 0.25: x = 19

Therefore, the answer is B.) Hope this helps!