A linear function has the form : f(x)=ax+b
we are given that
f(0)=a*0+b=b is $14,500.
so the sales in the first year were $14,500.
f(1) gives the sales in the second year (year 83)
f(2) gives the sales in the third year (year 84)
.
.
f(5) gives the sales in the sixths year (year 87)
the slope of the line, a, is given by :
[tex] \frac{f(5)-f(0)}{5-0}= \frac{65,500-14,500}{5}= 10,200[/tex]
thus,
S=ax+b=10,200x+14,500
Answer: S=10,200x+14,500
