Afitness center has two membership plans. one has a low dollar sign up fee of 15 dollars and costs 38 dollars per month to join. a second plan has a higher sign up fee of 78 dollars but a lower monthly fee of 31 dollars. for what number of months is the cost the same?

They will cost the same in 9 months

Step-by-step explanation:

In order to find the answer, you have to set up equations for each different place. The first place would have an equation of y = 38x + 15, in which x is the number of months. This is because you multiply the monthly cost by the number of months and then add the sign up fee.

For the second place, that same equation would be y = 31x + 78.

To get the number of months when it costs the same, set the two equations equal to each other and solve for x.

38x + 15 = 31x + 78

7x + 15 = 78

7x = 63

x = 9

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step-by-step explanation: