Darrell and Jim are planning to run in their office-sponsored marathon and plan on joining a gym to train. Darrell finds that gym-A has a $40 joining fee and then costs $15 per month after that. Jim finds that gym-B is free to join and costs $20 per month after. At what number of months of training would gym-A to be a cheaper option than gym-B

From number of month to be 9, training would be cheaper in gym A than in gym B.

Explanation:

To calculate the number of months when option containing gym A becomes cheaper than option of gym B, we first need to form cost equations for both and equate them.

Let x be the number of months.

The cost of gym A is = 40 + 15x

The cost of gym B = 20x

40 + 15x = 20x

40 = 20x - 15x

40 = 5x

x = 40/5

x = 8

So, the cost for both options will be equal when the number of months is 8. From number of month to be 9, training would be cheaper in gym A than in gym B.

the answer is a.

by: nicholas dooley