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It Makes Sense That the Larger the Area of a Region

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It makes sense that the larger the area of a region, the larger the number of species that inhabit the region. Many ecologists have modeled the species-area relation with a power function and, in particular, the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in m2m^{2} of the caves by the equation S=0.7A03S=0.7 A^{03} (a) The cave called mission impossible near puebla, mexico, has suface area of A=90 m2A=90 \mathrm{~m}^{2} .
How many species of bats would expect to find in that cave?
(b) If you discover that 5 species of bats live in cave estimate the area of the cave.


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