SOLUTION: for a new diet pill, 50 pills will be supplied at a price of $30, while 80 pills will be supplied at a price of $50. Write a linear supply function for this product

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: for a new diet pill, 50 pills will be supplied at a price of $30, while 80 pills will be supplied at a price of $50. Write a linear supply function for this product      Log On


   

Question 260322: for a new diet pill, 50 pills will be supplied at a price of $30, while 80 pills will be supplied at a price of $50. Write a linear supply function for this product
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We really have two coordinates here as:
(50,30) and (80,50)
we can find slope as
m+=+%28y2-y1%29%2F%28x2-x1%29
putting our numbers in, we get
m+=+%2850-30%29%2F%2880-50%29
m+=+20%2F30
or
m+=+2%2F3
using a coordinate and our slope we can find the b value as
y+=+mx+%2B+b
30+=+%282%2F3%29%2850%29+%2B+b
-10%2F3+=+b
so, our final equation becomes
y+=+%282%2F3%29X+-+10%2F3