Gym a charges a registration fee of 75 plus 35.65 per month for members. Gym B charges a registration fee of 164 plus 17.95 for members. After how many months would the total cost at gym a and gym b to be the same for members?

A. 10 months

B. 5 months

C. 7 months

D. They will never be the same

B: after 5 months

Step-by-step explanation:

Make to equations from the given information

Let y be the cost, and let x be the number of months

Gym 1: y = 35.65x + 75

Gym 2: y = 17.95x + 164

It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve ...

35.65x + 75 = 17.95x + 164

17.70x = 89 (subtract 17.95x and 75 from both sides)

x = 5.02 (divide both sides by 17.7)

So after 5.02 months the cost will be equal, since 5.02 is greater than 5 months, the answer is after 5 months, which is B