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? $

1 answer

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.