Question

Cellular Phone Rates. A cellular phone company charges $32 per month plus 15 cents for each minute, or fraction of a minute, that you use one of their cellular phones. The expression 3200+15t/100 gives the amount of money, in dollars, you will pay for using one of their phones for t minutes a month. Find the monthly bill for using one of their phones for 60 minutes in a month.$ ?

Answer 1

SOLUTION

Given the question in the question tab, the following are the solution steps to get the monthly bill for using one of their phones for 60 minutes in a month.

Step 1: Write the equation that gives the amount of money to be paid for t minutes a month

$\begin{gathered} \text{Amount}=\frac{3200+15t}{100} \\ \text{where t is the number of minutes in a month} \end{gathered}$

Step 2: Calculate the monthly bill for using one of their phones for 60 minutes a month

$\begin{gathered} t=60 \\ \text{Substitute 60 for t in the equation in step 1} \\ \text{Amount}=\frac{3200+15t}{100} \\ \text{Amount}=\frac{3200+15(60)}{100} \\ \text{Amount}=\frac{3200+900}{100}=\frac{4100}{100}=41 \end{gathered}$

Hence, the monthly bill for using one of their phones for 60 minutes in a month is $41