Biodiversity Index Calculation

Question

The theory of island biogeography relates species richness to an island's size and its distance from the mainland. A biodiversity index is defined by the formula $$B = \frac{Area}{Distance}$$. Based on the data in the table, which island has the highest biodiversity index, and what is its value?

| Island | Distance (km) | Area (km^2) |
|--------|---------------|-------------|
| X      | 15            | 50          |
| Y      | 30            | 120         |
| Z      | 10            | 80          |

Accepted Answer

Island Z with a biodiversity index of $$8$$.

Answer

Island X with a biodiversity index of approximately $$3.33$$.

Answer

Island Z with a biodiversity index of $$6$$.

Answer

Island Y with a biodiversity index of $$4$$.

Biodiversity Index Calculation

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