Question

A pre-paid cell phone company charges $14.45 as a monthly access fee and $0.07 per minute of calling time.

Express the monthly cost c

in terms of minutes of call time.


What will the monthly cost be if you make 429 minutes of calls this month? $

Answer 1

To express the monthly cost \( c \) in terms of the number of minutes of call time \( m \), we can set up the equation as follows:

\[
c = 14.45 + 0.07m
\]

Here, \( 14.45 \) is the fixed monthly access fee, and \( 0.07m \) represents the variable cost based on the number of minutes called.

Now, to find the monthly cost when \( m = 429 \) minutes, we can substitute \( 429 \) into the equation:

\[
c = 14.45 + 0.07 \times 429
\]

Calculating the variable cost:

\[
0.07 \times 429 = 30.03
\]

Now, substituting back into the equation:

\[
c = 14.45 + 30.03 = 44.48
\]

Thus, the monthly cost when you make 429 minutes of calls this month is:

\[
\boxed{44.48} \text{ dollars}
\]