SOLUTION: A cellar phone company offers a contract for which the cost C in dollars, of it t minutes of the telephone is given by C=0.25 (t-300)+46.95, when it assumed that > 300 mintues. wha
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Question 190543: A cellar phone company offers a contract for which the cost C in dollars, of it t minutes of the telephone is given by C=0.25 (t-300)+46.95, when it assumed that > 300 mintues. what times will keep the costs between 90.20 and 120.20?
Answer by jonvaliente(64) (Show Source): You can put this solution on YOUR website!
Set up the inequality:
.
90.20<0.25(t-300)+46.95<120.20
.
Subtracting 46.95 from all terms, we get:
.
43.25<0.25(t-300)<73.25
.
Simplifying the middle term, we get:
.
43.25<0.25t-75<73.25
.
Adding 75 to all terms, we get:
.
118.25<0.25t<148.25
.
Dividing all terms by 0.25, we get:
.
.
Therefore, the phone must be used more than 473 minutes but less than 593 minutes for the cost to be within the specified range.
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