A population of 30 deer is introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 200 deer,
so the growth is described by the logistic equation. Absent constraints, the population would grow by 10% per year.a. Predict the population after one year.b. Predict the population after two years.
After one year the population will be 33 deers, and after two years it will be 36 deers.
Step-by-step explanation:
Given that a population of 30 deer is introduced into a wildlife sanctuary, and it is estimated that the sanctuary can sustain up to 200 deer, and absent constraints, the population would grow by 10% per year, to predict the population after one year and after two years, the following calculations must be performed:
A)
30 x 1.1 = X
33 = X
B)
30 x 1.1 ^ 2 = X
30 x 1.21 = X
36.3 = X
Therefore, after one year the population will be 33 deers, and after two years it will be 36 deers.
The answer is B., based on the distributive property (multiply coeffictients, add exponents, change signs because of the negative number being multiplied)
