SOLUTION: here it goes plan a of medical insurance would have to be pay the first $170 of medical bill plus 40%of the rest, plan b have to pay $190 but only 20% of the rest. For the what amo

Question 547408: here it goes plan a of medical insurance would have to be pay the first $170 of medical bill plus 40%of the rest, plan b have to pay $190 but only 20% of the rest. For the what amount of medical bills will plan b be saved? assume she has over $190 in bills. With plan b is she had more than ____ in bills?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
For expenses up to $170, both plans make you pay the total balance.
Between $170 and $190, plan A is obviously cheaper, because with plan A you pay less than the total balance, while B makes you pay the whole balance.
For expenses over $190, if the total medical bills amount to x (in $), you would have to pay an amount y (in $) that varies like this:
with plan A,
with plan B,
Although your cost with plan A start lower at , they increase more steeply with x (greater slope) and the lines intersect where

Subtracting 0.2x from both sides:

Subtracting 102 from both sides:

Multiplying both sides by 5 (or dividing both by 0.2, same thing):

If your medical bills are $250, you would pay $202 with either plan:
with plan A,
with plan B,
For medical expenses between $170 and $250, plan B costs more than plan A.
For more than $250, plan A costs more.
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