Assume that the sales of a certain appliance dealer are approximated by a linear function. suppose that sales were $14,500 in 1982 and $65,500 in 1987. let x = 0 represent 1982. find the equation giving yearly sales s

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 : 



thus,

S=ax+b=10,200x+14,500


S=10,200x+14,500  

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