Question

* For his phone service, Goran pays a monthly fee of $24, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $93.96

*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

`m \geq 1166`

Explanation:

Given

`Base\ Amount = \$24`

`Charges = \$0.06` per minute

`Least\ Monthly\ Charges = \$93.96`

Required

Determine the possible number of minutes

If for 1 minute, he's charged $0.06;

He'll be charged $0.06m for m minutes

Representing this as an inequality, we have:

`Base\ Amount + m\ Charges \geq\ Least\ Monthly\ Charges`

`24 + 0.06m \geq 93.96`

Solve for 0.06m

`0.06m \geq 93.96 - 24`

`0.06m \geq 69.96`

Solve for m

`m \geq 69.96/0.06`

`m \geq 1166`

This implies that, he's charged for at least 1166 minutes