For her phone service, Lucy pays a monthly fee of $15, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is$84.75What 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.

Respuesta :

m ≥ 1395 minutes

Explanation:

Monthly fee = $15

fee paid per minute of use = $0.05

let the number of minutes she used = m

The least amount she has been charged = $84.75

least is written as ≥ $84.75

The equation:

Monthly fee + fee per minute(number of minutes) = The total charge

The equal sign changed below since the question mentioned the least amount

$15 + 0.05(m) ≥ $84.75

15 + 0.05m ≥ 84.75

To get the possible number of minutes, we will solve for m:

15 + 0.05m ≥ 84.75

subtract 15 from both sides:

0.05m ≥ 84.75 - 15

0.05m ≥ 69.75

divide both sides by 0.05:

m ≥ 69.75/0.05

m ≥ 1395 minutes

The possible number of minutes she has used her phone in a month is at least 1395 minutes