Question 842081
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 {{{b=y-mx}}}.
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:
{{{highlight(C(x)=((9647-8147)/(100-80))x+(9647-((9647-8147)/(100-80))*100))}}};
the point  (100, 9647) was used in setting that raw, unsimplified equation.