Linear function question

Question

1. A plant can manufacture 80 golf clubs per day for a total daily cost of $7647 and 100 golf clubs per day for a total daily cost of $9147.
a) Assuming that daily cost and production are linearly related, find the linear equation C = f(x) where C is the total daily cost in $ of producing x golf clubs.
b) Interpret the slope and the y intercept of this cost function.

Answer 1

80 clubs cost $7647

100 clubs cost $9147

slope=(9147-7647)/(100-80)

slope=1500/20

slope=75/1 or 75

y=mx+b

y=75x+b

using one of the points (80,7647)

7647=75(80)+b

7647=6000+b

b=7647-6000

b=1647  y-intercept

y=75x+1647 or f(x)=75x+1647  linear equation