Question 145950: Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $50 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pay the first $230, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $230 in bills.
Suppose Giselle has a certain amount in medical bills, such as $5000. How much would she pay under each plan?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! "For what amount of medical bills will plan B save Giselle money?"
Let x=amount of the bill
Under plan A, the expression is
Under plan B, the expression is
So to figure out when plan B will save her money, simply set the plan B expression less than the plan A expression
 Distribute
 Combine like terms
 Subtract 0.25x from both sides. Subtract 184 from both sides.
 Combine like terms
 Divide both sides by 0.45
So if she has any bills over $2,930, then Plan B will cost less than Plan A.
-----------------------
"Suppose Giselle has a certain amount in medical bills, such as $5000. How much would she pay under each plan?"
Start with the Plan A expression
 Plug in 
 Subtract  from  to get  .
 Multiply  and to get  .
 Add and to get .
So under Plan A, she will pay $1,287.50
----------------------
Start with the Plan B expression
 Plug in
 Subtract  from to get  .
 Multiply  and to get  .
 Add and to get .
So under Plan B, she will pay $1,184.00
|
|
|
