QuestionAugust 25, 2025

A pre-paid cell phone company charges 18.25 as a monthly access fee and 0.12 per minute of calling time. Express the monthly cost C in terms of minutes of call time. square What will the monthly cost be if you make 391 minutes of calls this month? square

A pre-paid cell phone company charges 18.25 as a monthly access fee and 0.12 per minute of calling time. Express the monthly cost C in terms of minutes of call time. square What will the monthly cost be if you make 391 minutes of calls this month? square
A pre-paid cell phone company charges 18.25 as a monthly access fee and 0.12 per minute of calling time. Express the monthly cost C in terms of minutes of call time. square What will the monthly cost be if you make 391 minutes of calls this month? square

Solution
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Answer

C = 18.25 + 0.12m ### 65.17 Explanation 1. Define the cost function The monthly cost C is given by the sum of the monthly access fee and the cost per minute multiplied by the number of minutes. Thus, C = 18.25 + 0.12m, where m is the number of minutes. 2. Calculate the monthly cost for 391 minutes Substitute m = 391 into the cost function: C = 18.25 + 0.12 \times 391. 3. Perform the calculation Calculate 0.12 \times 391 = 46.92. Then add the access fee: C = 18.25 + 46.92 = 65.17.

Explanation

1. Define the cost function<br /> The monthly cost $C$ is given by the sum of the monthly access fee and the cost per minute multiplied by the number of minutes. Thus, $C = 18.25 + 0.12m$, where $m$ is the number of minutes.<br /><br />2. Calculate the monthly cost for 391 minutes<br /> Substitute $m = 391$ into the cost function: $C = 18.25 + 0.12 \times 391$.<br /><br />3. Perform the calculation<br /> Calculate $0.12 \times 391 = 46.92$. Then add the access fee: $C = 18.25 + 46.92 = 65.17$.
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