Question

Scientists have found that the relationship between the area of an island and the number of species can be modeled approximately by S=-3.404+103.2ln(A) S=−3.404+103.2ln(A), where AA is the area in km^2km 2 and SS is the number of species.

Answer 1

Answer:

$A=e^{(S+3.404/103.2)$

Step-by-step explanation:

Step one:

we are told that the relationship between the number of species and the island area is given as

$S=-3.404+103.2ln(A)$-----------------1

based on any given value for either area or number of species, we can find the other.

say we want to find the land area for a given amount of specie

Step two:

we first make area A subject of the formula.

$S=-3.404+103.2ln(A)$

let us isolate   $ln(A)$

$S + 3.404 = 103.2ln(A)$

Divide both sides by 103.2 we have

$(S + 3.404)/103.2 = ln(A)$

Now, exponentiate both sides using the base e.

$A=e^{(S+3.404/103.2)$----------------2

for a given value of "S" we can find the area   A based on the above expression.