Question 181697: With cell phones being so common these days, the phone companies are all competing to earn business by offering various calling plans.
One of them, Horizon, offers 700 minutes of calls per month for $45.99, and additional minutes are charged at 6 cents per minute.
Another company, Stingular, offers 700 minutes for $29.99 per month, and additional minutes are 35 cents each.
For how many total minutes of calls per month is Horizon's plan a better deal?
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! With cell phones being so common these days, the phone companies are all competing to earn business by offering various calling plans.
One of them, Horizon, offers 700 minutes of calls per month for $45.99, and additional minutes are charged at 6 cents per minute.
Another company, Stingular, offers 700 minutes for $29.99 per month, and additional minutes are 35 cents each.
For how many total minutes of calls per month is Horizon's plan a better deal?
:
H:R=45.99+.06(m-700).....where R= revenue and m = minutes>700
:
S:R=29.99+.35(m-700).....m>700
:
so we want H
:
45.99+.06m-42<29.99+.35m-245
:
-.29m<-219........we have to divide by a negative here so the inequality will reverse
:
m>755......anything over 755 minutes and Horizon will have the better deal
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