Question

Bill bought a new cellular phone. His monthly bill will be $32.99 each month which includes 100 minutes of use. Additional minutes will cost $0.19 per minute. Write a linear model that represents the amount of the bill, C, based on the total number of minutes, m, the phone is used in a month. Assume m > 100 minutes.

a. C= 0.19m+32.99
b. C= 32.99(m-100)+0.19
c. C= 0.19m
d. 0.19(m-100)+32.99

Answer 1

My answer is D. 0.19(m-100)+32.99

Answer 2

The correct option is : d.
`C=0.19(m-100)+32.99`

Explanation:

Let the total number of minutes used be = m

Let the amount of bill be represented by = C

As given, the monthly bill will be = $32.99

Assume m > 100 minutes.

Additional minutes will cost $0.19 per minute.

Its given that bill includes 100 minutes of use.

So, above 100 minutes, it will be chargeable at 0.19 dollars per minute. We can represent this as :
`0.19(m-100)`

And as $32.99 is the bill that has to come each month, the final equation becomes :

`C=0.19(m-100)+32.99`