SOLUTION: If your number is 2.75 you received $250 if your number is at 3.0 you receive $350. If your number is 2.82, How much do you get?

Algebra ->  Proportions  -> Lessons -> SOLUTION: If your number is 2.75 you received $250 if your number is at 3.0 you receive $350. If your number is 2.82, How much do you get?      Log On


   

Question 256953: If your number is 2.75 you received $250 if your number is at 3.0 you receive $350. If your number is 2.82, How much do you get?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have coordinates here:
(2.75, 250) and (3.0, 350)
step 1 - find the slope using
m+=+%28y2-y1%29%2F%28x2-x1%29
putting our coordinates in, we get
m+=+%28350-250%29%2F%283-2.75%29
m+=+100%2F.25
m+=+400
step 2 - find b using y = mx + b as
y+=+mx+%2B+b
350+=+3%2A%28400%29+%2B+b
b+=+-850
the equation of the line is
y+=+400x+-+850
Now let x = 2.82. We get
y+=+2.82%2A400+-+850
y+=+278