Question

for his phone service chris pays a monthly fee of $17 and he pays an additional $0.06 per minute of use. the least he has been charged in a month is $105.74 what is the possible numbers of minuets he has used his phone in a month? use m for the number of minutes, and solve your inequality for m

Answer 1

1479 minutes

Explanation:

Given

Monthly Fee = $17

Charges per minute = $0.06

Least charge = $105.74

Required

Determine the possible number of minutes

Representing the number of minutes with m;

The inequality can be written as

`17 + 0.06 * m \geq 105.75`

We're making use of
`\geq` because the question says the least which means his charges could be more

Solving the inequality

`17 + 0.06 * m \geq 105.75`

`17 + 0.06 m \geq 105.75`

Subtract 17 from both sides

`17 -17+ 0.06 m \geq 105.75-17`

`0.06 m \geq 105.75-17`

`0.06 m \geq 88.75`

Divide both sides by 0.06

`(0.06 m)/(0.06) \geq (88.75)/(0.06)`

`m \geq (88.75)/(0.06)`

`m \geq 1479.16666667`

`m \geq 1479` (Approximated)

The possible number of minutes he has used his phone is at least 1479 minutes