Question

Brian and Michael are getting high speed internet access at the same time. Brian’s provider charges $60 for installation and $42.95 a month. Michael’s provider has free installation and charges $57.95 per month. After how many months will Brian and Michael have paid the same amount?

Answer 1

Answer:

4 months.

Step-by-step explanation:

We can write formulas for the amount each person paid after x months. These will be

Brian = 60 + 42.95x

Michael = 0 + 57.95x

So for example, after 1 month Brian will have paid 102.95 for the installation and first month, while Michael will have paid only 57.95 (I put the zero in the equation to make it look like the familiar y-intercept form). We are trying the find the month at which they have paid equal amounts. Solve for x in the equation

60 + 42.95x = 57.95x

60 = (57.95 - 42.95)x

60 = 15x

x = 4

After four months.