SOLUTION: 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 fi

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.
Giselle would save with plan B if she had more than__ in bills?
Found 2 solutions by MRperkins, dekyos:
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
You need to set up a system of equations to solve this. Basically, this means that you need at least 2 equations and then you find the value that makes both of the equations true.
So, Plan A: What Gisselle pays = 200+.25(the rest of the bills)
so you could write this as y=200+.25x or if you want to put it into slope intercept form, then y=.25x+200.
Plan B's equation could be found similarly and is y=.20x+240
Since y=.25x+200 and y=.20x+240, then you can set them equal to each other and you get .25x+200=.20x+240. Then you just solve.
.05x=40
x=800
Therefore, when x=800, then you pay the same under both plans.
Giselle would save with plan B if she had more than $800 in bills!
For additional help, contact me directly at justin.sheppard.tech@hotmail.com
Answer by dekyos(1) (Show Source): You can put this solution on YOUR website!
I see a lot of these, and most of them have been answered incorrectly here.
Everyone has a good start. We set up our system of equations.
Let x = the total amount of her medical bills, keep in mind she is only paying 25% AFTER her initial payment.
Plan A
A(x)= 200+.25(x-200)
Plan B
B(x)= 240+.20(x-240)
Simplify both
A(x)= 200+.25x-50 which is A(x)= 150+.25x
B(x)= 240+.2x-48 which is B(x)= 192+.2x
Now we set them up in an inequality, to show that plan B costs less than plan A
192+.2x<150+.25x
Solve
.05x>42
x>840
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.
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