SOLUTION: A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t-600)+73.95, where it is assumed that t ≥ 600 min

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t-600)+73.95, where it is assumed that t ≥ 600 min      Log On


   



Question 548676: A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t-600)+73.95, where it is assumed that t ≥ 600 minutes. What times will keep costs between $123.95 and $143.95?
For the cost to be between $123.95 and $143.95, the telephoning time must be between ? minutes and ? minutes.

Answer by Sarpi(32) About Me  (Show Source):
You can put this solution on YOUR website!
C = 0.25(t - 600)+ 73.95 solve for t? if cost is between $123.95 and $143.95 that is 123.95+%3C+C+%3C+143.95
Therefore:
123.95+%3C+0.25%28t+-+600%29+%2B+73.95+%3C+143.95
123.95+%3C+0.25t+-+150+%2B+73.95+%3C+143.95
123.95+%3C+0.25t+-76.05+%3C+143.95
123.95+%2B+76.05+%3C+0.25t+%3C+143.95+%2B+76.05
200+%3C+0.25t+%3C+220
200%2F0.25+%3C+t+%3C+220%2F0.25
800+%3C+t+%3C+880
Hence,the telephone time must be between 800mins and 880mins in order for the cost to be between $123.95 and $143.95