Question

You are moving to Denver and are switching your cellular phone company. 5 points Your new peak air time rate in Denver is $0.23 per minute. Your bill also includes a monthly charge. Your first bill stated that you used 110 minutes of peak air time and your bill was $51.30. Write an equation that models the cost (C) of your monthly bill in terms of the number of minutes of air time (M).*

Answer 1

C = 0.23M + 26

Given:

Peak air time = $0.23 per minute

First bill = $51.30

Minutes of airtime = 110 minutes

The equation that models the cost (C) of your monthly bill in terms of the number of minutes of air time (M) will be:

C = 51.3 = 0.23M + Monthly charge

51.3 = 0.23(110) + Monthly charge

Solve for monthly charge:

`\begin{gathered} \text{Monthly charge = 51.3 - }110(0.23)\text{ = }26 \\ \end{gathered}`

Monthly charge = $26

The equation is:

C = 0.23M + 26