Verizon charges a $40 sign up fee and $60 a month for their new hotspot. T-Mobile charges a $100 sign up fee and then $40 per month for their new hotspot. After how many months of service will the two company's fees be the same?

It will take 3 months for both company's fees be the same

Let

y = total charges

x = number of months

Verizon:

y = 40 + 60x

T-Mobile:

y = 100 + 40x

Number of months it will take both companies to charge the same fee

Equate the total charges of both companies

40 + 60x = 100 + 40x

40 - 100 = 40x - 60x

-60 = - 20x

x = -60 / -20

x = 3 months

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: