Sandy is upgrading her internet service. Comcast charges $60 for the installation and 50.45 per month of service. AT&T has a

Question

3 years ago

14

free installation but charges $57.95 per month. How many months would I have cable for to pay the same amount with both companies

1 answer:

kirill [66] · Answer 1 · 2022-04-19T20:46:29+03:00

The pay will be same for 8 months.

Step-by-step explanation:

At Comcast;

Installation fee =$60

Per month charges = $50.45

Let,

x be the number of months,

C(x) = 60+50.45x

At AT&T;

Per month charges = $57.95

A(x) = 57.95x

When the amount will be same,

C(x)=A(x)

$60+50.45x=57.95x\\60=57.95x-50.45x\\60=7.5x\\7.5x=60$

Dividing both sides by 7.5

$\frac{7.5x}{7.5}=\frac{60}{7.5}\\x=8$

The pay will be same for 8 months.

Keywords: functions, division

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