Question

A pre-paid cell phone company charges $12.9 as a monthly access fee and $0.11 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 225 minutes of calls this month? $

Answer 1

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

1. Monthly access fee: $12.90
2. Cost per minute of calling time: $0.11 per minute

Therefore, the total monthly cost \( C \) can be expressed as:

\[
C = 12.90 + 0.11m
\]

where \( m \) is the number of minutes used.

Now, to find the monthly cost if you make 225 minutes of calls, we can substitute \( m = 225 \) into the cost equation:

\[
C = 12.90 + 0.11 \times 225
\]

Calculating the second term:

\[
0.11 \times 225 = 24.75
\]

Now, adding this to the monthly access fee:

\[
C = 12.90 + 24.75 = 37.65
\]

Thus, the monthly cost if you make 225 minutes of calls this month will be **$37.65**.