Question

Bayside insurance offers two health plans. Under plan A,Giselle would have to pay the first $110 of her medical bills, plus 30% of the rest. Under plan B, she would pay the first $250, but only 20% of the rest. For what amount of medical bills would plan B save her money? Assume she has over $250 in bills

Answer 1

Let's say that the total to be paid is y. Under plan A, she would have to pay 110, as well as 30% of the remaining cost (which is y - 110). More mathematically written: \(110 + 0.3(y-110)\). Try writing out the same thing for plan B firstly.

Answer 2

250+0.2(x-250)

Answer 3

That's good work! What we want to know is where plan B costs less money, in other words:
\(250+0.2(y-250) < 110+0.3(y-110)\). Have you worked with inequalities before?

Answer 4

no

Answer 5

Well in a lot of cases, they're the same as equalities. You can pretend the < sign is the same as a = sign for now. Using the equation I wrote above, try to get y on its own on one side of the < sign.

Answer 6

5000?

Answer 7

That's not what I got I'm afraid. Try posting one step at a time, starting with multiplying out the brackets.

Answer 8

62500?

Answer 9

Try multiplying out the brackets first, and then post that. The first half will be:
\(250+0.2y-50 < ?\)
What goes in place of the ? mark above?

Answer 10

IM LOST, NEVERRMIND

Answer 11

When you have \(0.2(y-250)\), the objective is to multiply \(0.2 \times y\), and add it to \(0.2 \times -250\).