Chapter 1 - Functions and Limits - 1.2 Mathematical Models: A Catalog of Essential Functions - 1.2 Exercises - Page 36: 30

(a) $2$ species of bat (b) $334$ $m^2$

(a) If $A = 60$, then: $S = 0.7A^{0.3}=0.7(60)^{0.3} = 2.390800925 \approx 2$ (b) If $S =4$ then: $4 = 0.7A^{0.3}$ $\frac{4}{0.7}= A^{0.3}$ $A =( \frac{4}{0.7})^{\frac{10}{3}} \approx 334$