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AP Environmental Science/Unit 9: Global Change
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Invasive Species Establishment Probability

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The probability that an invasive species establishes at a distance xx km from its introduction point is modeled by D(x)=11+e0.8(x50)D(x)=\frac{1}{1+e^{-0.8*(x-50)}}. Based on the table, what is the value of D(x)D(x) at x=50x=50 km?

Distance (km) D(x)
40 0.18
50 0.50
60 0.82
A

1.01.0

B

0.20.2

C

0.50.5

D

0.80.8

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