4-1-83
X
00:00
/
00:00
CC
Bayside Insurance offers two health plans.
Under Plan A, Giselle would have to pay the 1st 170 of her
medical bills plus 25% of the rest.
Under Plan B, Giselle would pay the 1st 180 but only 20% of the
rest.
For what amount of medical bills will Plan B save?
Giselle money assumes she has over $180 in bills.
So under Plan A, she's going to pay 170 + 25% / 170.
So that's going to be X -, 170.
We want Plan A to cost more because we want Plan B to save
her money.
So Plan B is going to be 180 + .20 * X -, 180.
Now we're going to distribute the .25 X and the .25 to the
-170.
We're going to distribute the .20 to the X minus the 180.
Then it's a matter of combining our like terms.
So .2 five X + 127.5 greater than 144 + .20 X getting all the
access to one side .05 X getting everything else to the other
greater than 16.5 divide by .05.
Remember we don't flip the inequality sign because it's a
positive number we're dividing by.
So we get X greater than 330.
So Giselle would save with Plan B if she had more than 330 in
bills.