Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $200 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $230, but only 35% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $230 in bills. Sam would save with Plan B if he had more than $_____ in bills

Question

Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $200 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $230, but only 35% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $230 in bills. Sam would save with Plan B if he had more than $_____ in bills

Answer 1

Both plans pay 35% of the rest, so plan B will never catch up with plan A.

Please check if the question was posted correctly.

Answer 2

Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $200 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $230, but only 20% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $230 in bills. Sam would save with Plan B if he had more than $_____ in bills

Answer 3

thank you for showing me my mistake can you please help me

Answer 4

Let x = amount of medical bill

We look for the value of x such that the benefits from each plan is equal by equating the benefits and solving for x.

200+0.35(x-200) = 230+0.2(x-230)
multiply out to get
130+0.35x = 184 + 0.2x
0.15x = 54
x=360

Answer 5

To determine the amount of medical bills that would save Sam money under Plan B, we need to compare the total costs of both plans.

Let's start by calculating the cost of Plan A. Sam would pay the first $200, which is a fixed cost. After that, he would pay 35% of the remaining medical bills.

So the cost under Plan A can be expressed as: $200 + 0.35 x (Total Medical Bills - $200).

Now, let's calculate the cost of Plan B. Sam would pay the first $230, which is a fixed cost. After that, he would also pay 35% of the remaining medical bills.

So the cost under Plan B can be expressed as: $230 + 0.35 x (Total Medical Bills - $230).

To find the amount at which Plan B will save Sam money, we need to identify when the cost of Plan B is lower than the cost of Plan A.

Let's set up the equation:

$230 + 0.35 x (Total Medical Bills - $230) < $200 + 0.35 x (Total Medical Bills - $200).

Now, we can solve for the Total Medical Bills:

$230 + 0.35 x Total Medical Bills - $80.5 < $200 + 0.35 x Total Medical Bills.

Combine the like terms:

$230 - $200 - $80.5 < 0.35 x Total Medical Bills - 0.35 x Total Medical Bills.

$-50.5 < 0.

Since the left side of the equation is negative and smaller than 0, it means that Sam will save money under Plan B for any amount of medical bills greater than $230.

Therefore, Sam would save with Plan B if he had more than $230 in bills.