Question 276569: The Forever Green Nursery owns 7000 white pine trees. Each year the nursery plans to sell 12% of the trees and to then plant 600 new ones. Dale the nursery manager, thinks this is a good idea because they will never run out of trees to sell. Chris, the nursery accountant and bookkeeper, thinks that they will eventually run out of trees. Who is right, Dale or Chris? If Chris is right, when will they run out of trees?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Forever Green Nursery owns 7000 white pine trees. Each year the nursery plans to sell 12% of the trees and to then plant 600 new ones. Dale the nursery manager, thinks this is a good idea because they will never run out of trees to sell. Chris, the nursery accountant and bookkeeper, thinks that they will eventually run out of trees. Who is right, Dale or Chris? If Chris is right, when will they run out of trees?
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Let x be the number of years in the future.
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# of trees = 7000(0.88^x)+ 600x
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Solve # of trees = 0
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7000(0.88^x) + 600x = 0
70(0.88^x) = -6x
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Graph the left side and the right side on the same set of axis
and find the point(s) of intersection.
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Note: The graphs do not intersect.
The number of trees will never be zero.
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Cheers,
Stan H.
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