Question 221589: A tree grows 1/2 inch per year. The tree is currently 50 feet tall; how long will it take to grow to 60 feet? Answers must be shown as a one variable algebraic equation with 'x' equaling the same value on each side of the equation. I believe the correct answer is 240 years, but I don't know how to show the work in the proper way.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A tree grows 1/2 inch per year. The tree is currently 50 feet tall; how long will it take to grow to 60 feet? Answers must be shown as a one variable algebraic equation with 'x' equaling the same value on each side of the equation. I believe the correct answer is 240 years, but I don't know how to show the work in the proper way.
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Slope is always the amount y grows when x increases by one.
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slope = 1/2 inch per year
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intercept is always the value of y at zero, or at the "beginning".
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intercept = 50 feet = 600 inches
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height = (1/2)t+600
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How long to get to a height of 60 ft. or 720 inches
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(1/2)t + 600 = 720
(1/2)t = 120
t = 240 years
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Cheers,
Stan H.
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