SOLUTION: I need help with this problem: A plant can manufacture 50 golf club per day at a total DAILY COST of $5669 and 70 gulf clubs per day for a total daily cost of $7269. Assuming

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Question 470589: I need help with this problem:
A plant can manufacture 50 golf club per day at a total DAILY COST of $5669 and 70 gulf clubs per day for a total daily cost of $7269.
Assuming that daily cost and production are linearly related, find the total daily cost C of production x golf clubs.
Graph the total daily cost of 0<= x <= 200
Thank you!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A plant can manufacture 50 golf club per day at a total DAILY COST of $5669 and 70 gulf clubs per day for a total daily cost of $7269.
Assuming that daily cost and production are linearly related, find the total daily cost C of production x golf clubs.
Graph the total daily cost of 0<= x <= 200
**
Standard form for given equation: y=mx+b
You have two points of (x,y) coordinates to work with: (50,5669) and (70,7269)
m=∆y/∆x=(7269-5669)/(70-50)=80
y=80x+b
using (x,y) coordinates from one of given points to find b (y-intercept)
5669=80*50+b
5669=4000+b
b=5669-4000=1669
equation:
y=80x+1669
ans:
C=80x+1669 (0 ≤ x ≤ 200)
see graph below
..
+graph%28+300%2C+300%2C+-50%2C+100%2C+-1000%2C+8000%2C+80x%2B1669%29+