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

Please select the best answer from the choices provided

A
B
C
D

It’s D

option D is the correct answer.

Step-by-step explanation:

Let m represent the total number of minutes that the phone is used in a month.

Let C represent the amount of the bill for using m minutes.

His monthly bill will be $32.99 each month which includes 100 minutes of use. Additional minutes will cost $0.19 per minute. It means that the cost of additional minutes is

0.19(m - 100). Therefore, the linear model representing the amount of the bill would be

C = 0.19(m - 100) + 32.99

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.