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For his phone service, Ahmad pays a monthly fee of $23, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is$96.75.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 :

First, we must find the total amount C charged in a month for m minutes that Ahmad spend in the phone.

We know that the monthly fee is $23 and there is an additional charge of $0.05 for every minute of use. Therefore, we have:

[tex]C=0.05m+23[/tex]

Since the least he has been charged in a month is $96.75, we have:

[tex]\begin{gathered} C\ge96.75 \\ 0.05m+23\ge96.75 \\ 0.05m\ge96.75-23 \\ 0.05m\ge73.75 \\ m\ge\frac{73.75}{0.05} \\ m\ge1475\text{ minutes} \end{gathered}[/tex]

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