Answer:
(b)962.18 square km
Step-by-step explanation:
Given the function:
The graph of the function is given below:
(b) To determine f^-1(1400), find the value of A at which f(A)=1400.
![\begin{gathered} f(A)=-7.5+204.9\ln (A)=1400 \\ 204.9\ln (A)=1400+7.5 \\ 204.9\ln (A)=1407.5 \\ \ln (A)=(1407.5)/(204.9) \\ A=\exp ((1407.5)/(204.9))^{} \\ A\approx962.18 \\ \implies f^(-1)(1400)=962.18\operatorname{km}^2 \end{gathered}]()
(c)
In order for the number of species on the island to be 1400, the area of the island must be approximately 962.18 square km.