Assume that the sales of a certain appliance dealer areapproximated by a linear

Question

Assume that the sales of a certain appliance dealer areapproximated by a linear function. Suppose that sales were $13,000in 1982 and $84,000 in 1987. Let x=0 represent 1982. Find theequation giving yearly sales y.
Possible answers are:       A. S(x) = 71,000x +84,000       B. S(x0 = 71,000X +13,000       c. s(X) = 14,200X +13,000       d. s(X) = 14,2000X +84,000 Assume that the sales of a certain appliance dealer areapproximated by a linear function. Suppose that sales were $13,000in 1982 and $84,000 in 1987. Let x=0 represent 1982. Find theequation giving yearly sales y.
Possible answers are:       A. S(x) = 71,000x +84,000       B. S(x0 = 71,000X +13,000       c. s(X) = 14,200X +13,000       d. s(X) = 14,2000X +84,000

Explanation / Answer

Forthis equation, use the slope formula (y=mx+b -- In thiscase, s = y) m = y2-y1 / x2-x1 where (x1,y1) is the initial point and(x2,y2) is the second point If 1982 = 0 = x1 then 1987 = 5 = x2. From the problem y1 =13000 and y2 = 84000 Thus, (84000-13000) / (5 - 0) = 71000 / 5 = 14200
To find b/equation, use the point slope formula. y-y1 = m(x-x1) y - 13000 = 14200x - 0 y= 14200x + 13000 or C

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