Question

a pre - paid cell phone company charges $10.95 as a monthly access fee and $0.18 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 404 minutes of calls this month? $ question help: message instructor check answer

Explanation:

Step1: Define the cost - function

The monthly cost $C$ has a fixed part (monthly access fee) and a variable part (cost per minute). Let $m$ be the number of minutes of call - time. The fixed access fee is $10.95$ and the cost per minute is $0.18$. So the cost function is $C(m)=10.95 + 0.18m$.

Step2: Calculate the cost for 404 minutes

Substitute $m = 404$ into the cost function $C(m)$.
$C(404)=10.95+0.18\times404$
First, calculate $0.18\times404 = 72.72$.
Then, $C(404)=10.95 + 72.72=83.67$.

Answer:

The monthly cost $C$ in terms of minutes of call time is $C(m)=10.95 + 0.18m$. The monthly cost for 404 minutes of calls is $\$83.67$.