Question

Recon Cellular Company charges its cell phone customers $19.95 a month for the first 60 minutes of air time plus $0.39 for each additional minute beyond 60 minutes. A) Write an equation for cost per month in terms of number of minutes of airtime. Assume you will talk at least 60 minutes per month. Remember to define any variables you use!B) Find the cost to talk for 155 minutes in one month.C) How long can you talk for $35 in one month?

Answer 1

Let 't' denote the additional minutes beyond 60 minutes.

It is given that there is a monthly fixed cost of $19.95 for upto 60 minutes.

And then there is a variable cost of $0.39 per minute after that.

Then the total cost per month (C) is given by,

`TotalCost=FixedCost+VariableCost\Rightarrow C(t)=19.95+0.39t`

Thus, the equation for cost per month in terms of number of minutes of airtime, is obtained as,

`C(t)=19.95+0.39t`