Question 337451
A piece of pasture grows at a constant rate every day. 200 sheep will eat up the grass in 100 days. 150 sheep will eat up the grass in 150 days. How many days does it take for 100 sheep to eat up the grass?
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You are given 2 pairs of points that relate # of sheep and time to eat the grass: (200,100) and (150,150)
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slope = (150-100)/(150-200) = 50/-50 = -1
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y-intercept:
100 = (-1)(200) + b
100 = -200 + b
b = 300
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Equation:
# of days = -1(# of sheep) + 300
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Then:
D(100_ = -100 + 300
D(100) = 200 (100 sheep will take 200 days to eat the grass)
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Cheers,
Stan H.