Question

The local cable company charges $90 per month for basic cable and $12 per month

for each additional premium cable channel. The function cx x ( ) = + 90 12 represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?

Answer 1

Two additional premium channels were ordered

Explanation:

Linear Modeling

It consists of describing a real situation with a mathematical function that corresponds to a straight line.

An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.

The linear model for the charges of the company is:

c(x) = 90 + 12x

Where x is the number of additional premium channels.

Knowing that one month the charge was $114, we can find x:

114 = 90 + 12x

Subtracting 90:

114 - 90 = 12x =24

Dividing by 12:

x = 24/12

x = 2

Two additional premium channels were ordered