SOLUTION: A company finds that it can produce 10 solar heaters for $7500, while the production of 20 heaters costs $13,900. If cost is a linear function of the number of heaters produced, e

Algebra ->  Linear-equations -> SOLUTION: A company finds that it can produce 10 solar heaters for $7500, while the production of 20 heaters costs $13,900. If cost is a linear function of the number of heaters produced, e      Log On


   

Question 261535: A company finds that it can produce 10 solar heaters for $7500, while the production of 20 heaters costs $13,900. If cost is a linear function of the number of heaters produced, express the cost function where x is the number of heaters produced.
Found 2 solutions by drk, richwmiller:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
we have 2 coordinates here:
(10, 7500)
(20, 13900)
we need to find the slope using
m=%28y2-y1%29%2F%28x2-x1%29
we get
m+=+%2813900-7500%29%2F%2820-10%29
which is
m+=+6400%2F10
or
m+=+640
Now, we need to find b using
y+=+mx%2Bb
we get
7500+=+640%2A10+%2B+b
so,
b+=+1100
now we get
y+=+640x+%2B+1100

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Use (10,7500) and (20,13900) as two points on the line and make the equation from there.
Use %28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29=m to find m and y=mx+b to find b and to construct the final equation.