Question

For his phone service, Hans Paiz a monthly fee of $30, and he pays an additional five cents per minute of use. The least he has been charged in a month is $90.10 what are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes and solve your inequality for m

Answer 1

Given
`\begin{gathered} Monthly\text{ pay =30} \\ Additional\text{ pay =0.05m} \\ Least\text{ charge =90.1} \end{gathered}`Solution
`30+0.05m\ge90.1`

collect the like terms

`\begin{gathered} 0.05m\ge90.1-30 \\ 0.05m\ge60.1 \\ Divide\text{ both sides by 0.05} \\ (0.05m)/(0.005)\ge(60.1)/(0.05) \\ \\ m\ge1201 \end{gathered}`The final answer
`m\ge1202`