Question

Can someone help me with this question?

Bayside insurance offers two health plans. Under plan A,Giselle would have to pay the first $70 of her medical bills, plus 30% of the rest. Under plan B, she would pay the first $180, but only 25% of the rest. For what amount of medical bills would plan B save her money? Assume she has over $180 in bills

Answer 1

Any help with figuring out how to solve would be great

Answer 2

Let her medical bills be $ X.
X-[180+(25/100)(X-180)]>0
This is the required equation if she just wants to save some money.

But if she wants to save more money on plan B than on plan A, then equation is
X-[180+(25/100)(X-180)] > X-[70+(30/100)(X-70)]

Answer 3

X-[180+(25/100)(X-180)]
This is her saving on plan B

Answer 4

Her savings = (medical bill) - ( amount paid from her pocket)

Answer 5

Im still confused on how you came up with that

Answer 6

what do I multiply to get the total medical bill?

Answer 7

Total medical bill (X) is unknown. We will get X after solving the above inequality

Answer 8

Plan B:
Her savings = (medical bill) - ( amount paid from her pocket)
= X - 180+(25/100)(X-180)
In order that she saves some money, the above value i.e. her savings should be some value greater than zero.
So,
X-[180+(25/100)(X-180)]>0

Answer 9

4500?

Answer 10

was that it?

Answer 11

no
I am guessing the question is to find her medical bills so that plan B is more profitable to her than plan A.

Answer 12

X-[180+(25/100)(X-180)] > X-[70+(30/100)(X-70)]
So we need to solve this inequality

Answer 13

i dont know what to multiply, subtract or add

Answer 14

Solve the following for x, the break even price:\[70+\frac{30}{100}x=180+\frac{25}{100}x \]x = $2200
Any medical cost beyond $2200 would save her money with plan B.

Answer 15

I do not believe that is the answer. We are determining how much, starting at, that she would save if she chose plan b

Answer 16

My answer is : If her medical bill is anything greater than $1720 then she will save more on plan B

Answer 17

well I want help getting the answer

Answer 18

X-[180+(25/100)(X-180)] > X-[70+(30/100)(X-70)]
So do you understand how I arrived at this inequality?

Answer 19

Not completely

Answer 20

how do I do it, multiply, subtract?

Answer 21

25 30
X- [ 180 + (-----)*(X-180) ] > X- [ 70 + (-----)*(X-70) ]
100 100

Answer 22

You know how to solve the inequality. Right?

Answer 23

no

Answer 24

I was put into an advanced math class, I dont know how to do anything but basic math

Answer 25

> is symbol for 'greater than'.
a>b means a is greater than b.
If a and b are replaced by expressions, say x+3 and 2-x ,then the inequality a>b becomes
x+3 > 2-x
In order to solve this inequality, we have to bring the variable x (unknown quantity) to any one side of the inequality, either to the left or to the right i.e. x has to be only on one side of the inequality and all other terms to the other side of the symbol '>'.

Answer 26

For this, we add x to both sides of the equation,
we get
(x+3)+x > (2-x )+x
2x +3 > 2 ..........x cancelled out on the right side of the inequality
Now we subtract 3 both sides,
2x > 2-3
2x > -1
now we divide by 2 both sides,
x > -1/2
So the value of x is any value greater than -1/2.

This is how we solve inequality.
Follow similar steps to solve our original inequality.

Answer 27

Refer to the attachment. The x axis is the medical charges from the service provider. If Giselle has no medical insurance, then she will be charged dollar for dollar for medical service. In a sense, a no insurance line has a slope of zero and passes through the origin.

The other two lines represent Plan A, blue, and Plan B, red. The y axis is the cash amount Giselle is expected to pay for the corresponding medical service on the x axis.

Notice that at $2200 the accumulated total cash paid out is equal with both plans.

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I have to log out in a minute. It is almost 0100 local time.
The upshot of it all is that Giselle should select the blue plan if the expected medical expense is a yearly physical examination. If she is anticipating open heart surgery in the near future, then the red plan is the one to fund.