SOLUTION: Bayside Insurance offers 2 Health plans. Under plan A you would pay the first $100 of the bill plus 30% of the remainder. Plan B you would pay the first $150 plus 20% of the remain

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Question 268439: Bayside Insurance offers 2 Health plans. Under plan A you would pay the first $100 of the bill plus 30% of the remainder. Plan B you would pay the first $150 plus 20% of the remainder. For what amount of bills will you save more money assuming that there are over $150 in bills (approx. total bill of $5,000)
You would save more with plan B is you had $______ in bills?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bayside Insurance offers 2 Health plans.
Under plan A you would pay the first $100 of the bill plus 30% of the remainder.
A(x) = 100 + (0.3)(x-100) = 0.3x + 70
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Plan B you would pay the first $150 plus 20% of the remainder.
B(x) = 150 + (0.2)(x-150) = 0.2x + 120
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For what amount of bills will you save more money assuming that there are over $150 in bills (approx. total bill of $5,000)
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When is A better than B?
0.3x+70 < 0.2x+120
0.1x < 50
x < 500
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When is B better than A?
0.2x +120 < 0.3x+70
0.1x > 50
x > 500
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You would save more with plan B if you had greater than $500.00 in bills?
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Cheers,
Stan H.