document.write( "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.\r
\n" );
document.write( "\n" );
document.write( "Giselle would save with plan B if she had more than $? in bills. \n" );
document.write( "
Algebra.Com's Answer #107634 by BrittanyM(80)![]() ![]() ![]() You can put this solution on YOUR website! First, let's set up some equations to model the insurance prices.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Under plan A, Giselle is going to pay the first $200 and then forty percent of the bill.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = .4C + 200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And plan B requires that she pay $240 as well as thirty-five percent of the bill.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = .35C + 240\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "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. \n" ); document.write( "We will do this by setting the equations equal to one another and then solving for C.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".4C + 200 = .35C + 240 \n" ); document.write( ".05C = 40 \n" ); document.write( "C = 800\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "With this value, we can determine that any value of C greater than 800 will make Plan B a better deal for Giselle. \n" ); document.write( " \n" ); document.write( " |