Valdez Collins
09/13/2023 · Primary School
A pre-paid cell phone company charges \( \$ 10.05 \) 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 354 minutes of calls this month? \( \$ \) \( > \) Next Question
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Step-by-step Solution
To express the monthly cost \( C \) in terms of minutes of call time \( m \), we can use the following formula:
\[
C = 10.05 + 0.11m
\]
where:
- \( 10.05 \) is the monthly access fee,
- \( 0.11 \) is the cost per minute,
- \( m \) is the number of minutes used.
Now, to find the monthly cost if you make 354 minutes of calls, we can substitute \( m = 354 \) into the formula:
\[
C = 10.05 + 0.11 \times 354
\]
Calculating \( 0.11 \times 354 \):
\[
0.11 \times 354 = 38.94
\]
Now, substituting this back into the cost equation:
\[
C = 10.05 + 38.94 = 48.99
\]
Thus, the monthly cost if you make 354 minutes of calls is:
\[
\boxed{48.99}
\]
Quick Answer
Monthly cost \( C = 10.05 + 0.11m \)
Cost for 354 minutes: \( \$48.99 \)
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