Question

Kyle had cable television installed in his house. At the time of installation, there was an initial charge of $199 for the cable box and a setup fee of $49. There is a monthly charge of $79 for cable services. His total bill over a certain number of months, m, was $880. Choose an equation that represents the total costs of Kyle's cable installation and monthly charge. Then, choose the number of months he has had cable

Answer 1

The equation is
`199+49+79m=880`

Kyle has had cable for 8 months.

Explanation:

Let m denotes number of months cable services have been used.

Initial charge for the cable box = $199

Setup fee = $49

Monthly charges for cable services = $79

Also,

Total bill over a certain number of months, m = $880

Therefore,

`199+49+79m=880`

Now solve the equation.

`199+49+79m=880\\248+79m=880\\79m=632\\m=(632)/(79)\\ m=8`

That is Kyle has had cable for 8 months.