document.write( "Question 241888: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $200 of her medical bills, plus 25% of the rest. Under plan, Giselle would pay the first $240, but only 20% of the rest. For what amount of medical bills will plan B, save Giselle money? Assume she has over $240 in bulls.\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 #261063 by dekyos(1) ![]() You can put this solution on YOUR website! I see a lot of these, and most of them have been answered incorrectly here.\r \n" ); document.write( "\n" ); document.write( "Everyone has a good start. We set up our system of equations.\r \n" ); document.write( "\n" ); document.write( "Let x = the total amount of her medical bills, keep in mind she is only paying 25% AFTER her initial payment. \n" ); document.write( "Plan A \n" ); document.write( "A(x)= 200+.25(x-200) \n" ); document.write( "Plan B \n" ); document.write( "B(x)= 240+.20(x-240)\r \n" ); document.write( "\n" ); document.write( "Simplify both \n" ); document.write( "A(x)= 200+.25x-50 which is A(x)= 150+.25x \n" ); document.write( "B(x)= 240+.2x-48 which is B(x)= 192+.2x\r \n" ); document.write( "\n" ); document.write( "Now we set them up in an inequality, to show that plan B costs less than plan A \n" ); document.write( "192+.2x<150+.25x \n" ); document.write( "Solve \n" ); document.write( ".05x>42 \n" ); document.write( "x>840\r \n" ); document.write( "\n" ); document.write( "So she will not save money until she has a bill of $840 or more. Which is a whole $40 off from calculating as paying 25% of the whole amount. \n" ); document.write( " |