Question

EFor her phone service, Ashley pays a monthly fee of $27, and she pays an additional $0.05 per minute of use. The least she has been charged in a month isS82.05.What are the possible numbers of minutes she has used her phone in a month?Use m for the number of minutes, and solve your inequality for m.

Answer 1

First we have to set up the equation that describes the fee that Ashley pays montly,

Total cost = $27 + m ($0.05)

If Ashley pays at least $82.05 that implies the following inequality

`82.05\leq\text{ 27 + m(0.05)}`

solving for m

`\begin{gathered} 82.05-27\leq m(0.05) \\ 55.05\leq m(0.05) \\ (55.05)/(0.05)\leq m \\ 1101\leq m \end{gathered}`

Finally we can conclude that Ashley at least uses her phone 1101 minutes in a month, so any number greater than 1101 and lower than 44640 (minutes in a month) is a possible number of minutes that Ashley uses her phone in a month.