It Makes Sense That the Larger the Area of a Region

Short Answer

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 $m^{2}$ of the caves by the equation $S=0.7 A^{03}$ (a) The cave called mission impossible near puebla, mexico, has suface area of $A=90 \mathrm{~m}^{2}$ .
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.