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Question 842081: A plant can manufacture 80 tennis rackets per day for a total daily cost $8,147 and 100 tennis rackets per day for a total daily cost of $9,647. Assuming that the daily cost function is linear, find the total daily cost of producing x tennis rackets.
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Identify two ordered pair.
x = How many tennis rackets produced per day
y = cost of producing those x tennis rackets per day
Points (x,y) are (80, 8147) and (100, 9647).
Picking the point-slope form equation for a line (for the function), y=mx+b and solving for b, you have formula  .
Pick either point identified, calculate and compute the slope m with both identified points; and then form the slope-intercept definition for the function.
Throwing all those processes into one raw equation, this would be:
 ;
the point (100, 9647) was used in setting that raw, unsimplified equation.
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