SOLUTION: Solve the problem. Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $11,000 in 1982 and $47,000 in 1987. Let x=0

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Question 123810This question is from textbook college Algebra
: Solve the problem.
Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $11,000 in 1982 and $47,000 in 1987. Let x=0 represent 1982. Find the equation giving yearly sales S(x).
This question is from textbook college Algebra

Answer by stanbon(75887) About Me  (Show Source):
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Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $11,000 in 1982 and $47,000 in 1987. Let x=0 represent 1982. Find the equation giving yearly sales S(x).
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You have two points (0,11000) and (5,47000)
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slope = (47000-11000)/(5-0) = 7200
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form is y = mx+b; you know m, y, and x; solve for b
b=11000
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S(x) = 7200x + 11000
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Cheers,
Stan H.