Verizon has a $40 set up fee and cost $60 per month. AT&T has no set up fee and costs $80 per month. Write an equation to represent, m, the number months will both providers cost the same

Answer 1

Let V = Verizon Cost

Let A = ATT Cost

Let m = # months

V = 40 + 60m

A = 80m

We want to find the "m"

that makes V = A

V = A

40 + 60m = 80m

40 = 20m

2 = m

In 2 months, the

ATT cost is the same as the Verizon cost.

Answer 2

We start by setting up an equation for the cost (C) of each provider in terms of number of months (m).

Verizon has a one-time set-up fee of $40, meaning we will have a constant of 40 added onto the monthly cost of $60. Because the $60 is charged monthly, we multiply it by the number of months.

C_Verizon = 40 + 60*m

AT&T has no set-up fee, so the cost equation is just the monthly cost.

C_AT&T = 80*m

We want to find when the two cost the same, aka when C_Verizon = C_AT&T.

From there you should be able to substitute in the previous equations to find the equation in terms of m, and you should be able to solve for m as well if needed.