carlos pays a monthly fee of $12, and he pays an additional $0.05 per minute. The least he has been charged in a month is $85.15. What are the possible # of minutes he has used his phone in a month? Use M for the number of minutes, and solve your inequality for M.

The number of possible minutes M is greater than 1462.4.

Step-by-step explanation:

The monthly fee of the call charges = $12

Cost per minute = $0.05

Least amount bill charged to Carlos = $85.15

Let us assume the the number of minutes used on the phone = M

So, the cost of M minutes = m (Cost of 1 minute)

= M x ($0.05) = 0.05 M

Total Bill Charges < Fixed Fee + Cost of M minutes

⇒$85.15 < $12 + 0.05 M

or, 85.15 < 12 + 0.05 M

or, 0.05 M < 85.15 - 12 = 73.12

⇒ M < 73.12 / 0.05 = 1462.4

or M = 1462.4

Hence, the number of possible minutes M > 1462.4