Question 162628: Assume that the sales of a certain automobile parts company are approximated by a linear function. Supppose the sales were $200,000 in 1994 and $1,000,000 in 2001.
A. Find an equation giving the companys yearly sales
B. Find the sales in 1996
C. Estimate the sales in 2007
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Assume that the sales of a certain automobile parts company are approximated by a linear function. Supppose the sales were $200,000 in 1994 and $1,000,000 in 2001.
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You have two points:
(0,200,000) and (7,1000000)
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slope = [1000000-200000]/[7-0] = 800,000/7 = 114285.71
intercept: 200,000
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EQUATION:
Sales(x) = 114,285.71x + 200,000 where x is the number of years after 1994
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A. Find an equation giving the companys yearly sales
B. Find the sales in 1996
S(2) = 114,285.71*2 + 200,000 = 428571.42
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C. Estimate the sales in 2007
S(13) = 114285.71*13 + 200,000 = $1,685,714.23
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Cheers,
Stan H.
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