Question

A company offers premium cable for $40 per month plus a onetime setup fee. The total cost for setup and 6 months of service was $270. Write a linear equation and use it to find the cost for 24 months of service.

Answer 1

The linear equation for the cost of cable service is C = 40x + 30. The cost for 24 months of service is $990.

Step-by-step explanation:

To find the linear equation for the cost of the cable service, let's first define the variables:

C = total cost

x = number of months of service

The equation can be set up as:

C = 40x + setup fee

Since the total cost for setup and 6 months of service is $270, we can substitute these values into the equation:

270 = 40(6) + setup fee

270 = 240 + setup fee

Setup fee = 270 - 240

Setup fee = $30

Now, we can rewrite the equation:

C = 40x + 30

To find the cost for 24 months of service, we substitute x = 24 into the equation:

C = 40(24) + 30

C = 960 + 30

C = $990