Question

A pre-paid cell phone company charges $15.45 as a monthly access fee and $0.08 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 163 minutes of calls this month? $

Answer 1

To express the monthly cost \( C \) in terms of minutes of call time \( m \), we can write the equation as follows:

\[
C = 15.45 + 0.08m
\]

where:
- \( 15.45 \) is the monthly access fee,
- \( 0.08m \) is the cost for calling time based on the number of minutes \( m \).

Now, to find the monthly cost for 163 minutes of calls, we substitute \( m = 163 \) into the equation:

\[
C = 15.45 + 0.08 \times 163
\]

Calculating \( 0.08 \times 163 \):

\[
0.08 \times 163 = 13.04
\]

Now we can substitute this value back into the equation for \( C \):

\[
C = 15.45 + 13.04
\]
\[
C = 28.49
\]

Thus, the monthly cost if you make 163 minutes of calls this month is:

\[
\boxed{28.49}
\]