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
[tex]82.05\leq\text{ 27 + m(0.05)}[/tex]solving for m
[tex]\begin{gathered} 82.05-27\leq m(0.05) \\ 55.05\leq m(0.05) \\ \frac{55.05}{0.05}\leq m \\ 1101\leq m \end{gathered}[/tex]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.
