APFIVE Invasive Species Establishment Probability
The function $$D(x)=\frac{1}{1+e^{-0.8*(x-50)}}$$ models the probability that an invasive species will establish a population at a distance of $$x$$ kilometers from its point of introduction. The table shows values for $$D(x)$$ at several distances. According to the table, what is the value of $$D(x)$$ when $$x=50$$ km?
| Distance (km) | D(x) |
|---|---|
| 40 | 0.18 |
| 50 | 0.50 |
| 60 | 0.82 |
A
$$0.5$$
B
$$0.2$$
C
$$1.0$$
D
$$0.8$$
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