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

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