Question

For her phone service, Ashley pays a monthly fee of $19, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is$72.15.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

Given:

Ashley pays a monthly fee of $19, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $72.15.

Required:

Find 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.

Step-by-step explanation:

The initial amount paid by Ashley = $19

The additional amount per minute = $0.05

Let the number of minutes used in the phone = m

The least amount that is charged in a month = $72.15

Now by using the given information

`19+0.05m\ge72.15`

Solve for m as:

`\begin{gathered} 0.05m\ge72.15-19 \\ 0.05m\ge53.15 \\ m\ge(53.15)/(0.05) \\ m\ge1063 \end{gathered}`

Thus at least 1063 minutes were used on Ashley's phone in a month.

Final Answer:

The least possible minutes are 1063.