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Question 146935: Bayside insurance offers two health plans. Under plan A Giselle would have to pay the first $200.00 of her medical bills, plus 40% of the rest. Under plan B, Giselle would pay the first $240.00m but only 35% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $240.00 in bills.
Giselle would save with plan B if she had more than $? in bills.
Answer by BrittanyM(80)   (Show Source):
You can put this solution on YOUR website! First, let's set up some equations to model the insurance prices.
Under plan A, Giselle is going to pay the first $200 and then forty percent of the bill.
A = .4C + 200
And plan B requires that she pay $240 as well as thirty-five percent of the bill.
B = .35C + 240
In order to find what values of C make B a better plan, we must first find the value for C at which both plans are equal.
We will do this by setting the equations equal to one another and then solving for C.
.4C + 200 = .35C + 240
.05C = 40
C = 800
With this value, we can determine that any value of C greater than 800 will make Plan B a better deal for Giselle.
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