Invasive Species Establishment Probability

Question

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   |

Accepted Answer

$$0.5$$

Answer

$$1.0$$

Answer

$$0.2$$

Answer

$$0.8$$

Invasive Species Establishment Probability

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