Answer:
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