A pre-paid cell phone company charges \( \$ 12.7 \) as a monthly access fee and \( \$ 0.13 \) 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 353 minutes of calls this month?
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The monthly cost \( C \) can be expressed as a function of the minutes of call time \( m \) as follows: \[ C(m) = 12.7 + 0.13m \] This equation includes the fixed monthly access fee of \( \$12.7 \) and adds \( \$0.13 \) for each minute used. To calculate the monthly cost for 353 minutes, plug in \( m = 353 \): \[ C(353) = 12.7 + 0.13 \times 353 \] \[ C(353) = 12.7 + 45.89 = 58.59 \] Thus, the total monthly cost for making 353 minutes of calls is \( \$58.59 \).