Question 470589
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 
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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=&#8710;y/&#8710;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 &#8804; x &#8804; 200)
see graph below
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{{{ graph( 300, 300, -50, 100, -1000, 8000, 80x+1669) }}}