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.

Answer:The number of possible minutes M is greater than 1462.4.Step-by-step explanation:The monthly fee of the call charges  = $12Cost per minute = $0.05Least amount bill charged to Carlos = $85.15Let us assume the the number of minutes used on the phone  = MSo, the cost of M minutes = m (Cost of 1 minute)                                            = M x ( $0.05) =  0.05 MTotal Bill Charges  <  Fixed Fee + Cost of M minutes⇒$85.15  <  $12 + 0.05 Mor, 85.15 < 12 + 0.05 Mor, 0.05 M < 85 .15 - 12 = 73.12⇒ M  < 73.12 / 0.05 = 1462.4or M  =  1462.4Hence, the number of possible minutes M >   1462.4