document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #356496 by KMST(5328)\"\" \"About 
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For expenses up to $170, both plans make you pay the total balance.
\n" ); document.write( "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.
\n" ); document.write( "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:
\n" ); document.write( "with plan A, \"y=170%2B0.4%28x-170%29=170%2B0.4x-68=0.4x%2B102\"
\n" ); document.write( "with plan B, \"y=190%2B0.2%28x-190%29=190%2B0.2x-38=0.2x%2B152\"
\n" ); document.write( "Although your cost with plan A start lower at \"x=190\", they increase more steeply with x (greater slope) and the lines intersect where
\n" ); document.write( "\"0.4x%2B102=0.2x%2B152\"
\n" ); document.write( "Subtracting 0.2x from both sides:
\n" ); document.write( "\"0.2x%2B102=152\"
\n" ); document.write( "Subtracting 102 from both sides:
\n" ); document.write( "\"0.2x=50\"
\n" ); document.write( "Multiplying both sides by 5 (or dividing both by 0.2, same thing):
\n" ); document.write( "\"x=250\"
\n" ); document.write( "If your medical bills are $250, you would pay $202 with either plan:
\n" ); document.write( "with plan A, \"y%28250%29=0.4%2A250%2B102=100%2B102=202\"
\n" ); document.write( "with plan B, \"y%28250%29=0.2%2A250%2B152=50%2B152=202\"
\n" ); document.write( "For medical expenses between $170 and $250, plan B costs more than plan A.
\n" ); document.write( "For more than $250, plan A costs more. \n" ); document.write( "
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