SOLUTION: Hello, im trying to do this math problem but I can't seem to figure out the formulas to set up this problem seems how it has to be solved as an inequality. Here is the problem: A

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hello, im trying to do this math problem but I can't seem to figure out the formulas to set up this problem seems how it has to be solved as an inequality. Here is the problem: A       Log On


   

Question 858879: Hello, im trying to do this math problem but I can't seem to figure out the formulas to set up this problem seems how it has to be solved as an inequality. Here is the problem: A health insurance company offers two plans. With plan A you pay the first $150 of you medical bills and they pay 80% of the rest. With plan B you pay the first $250 of your medical bills and they pay 90% of the rest. For what amounts bof medical bills will plan b save you money?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A health insurance company offers two plans.
With plan A you pay the first $150 of you medical bills and they pay 80% of the rest.
A(x) = 150 + 0.8x
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With plan B you pay the first $250 of your medical bills and they pay 90% of the rest.
B(x) = 250+0.9x
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For what amounts of medical bills will plan B save you money?
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Solve: B(x) < A(x)
250+0.9x < 150+ 0.8x
100< -0.1x
x < -100/0.1
x < -10000
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Note: This answer says plan B will never save you money.
Cheers,
Stan H.