Question

each year a group of 150 Alaskan wolves has an average birth rate of 15% and an average death rate of 37% per year. Which fuction could be used to predict when there will be 25 wolves in this group?

Answer 1

Answer:approximately 5.4 years for the group of Alaskan wolves to reach a population of 25.

Explanation:

The number of wolves in a group can be modeled using the following function:

N(t) = N0 * e^((b-d)*t)

where N(t) is the number of wolves at time t, N0 is the initial number of wolves, b is the birth rate, d is the death rate, and e is the mathematical constant approximately equal to 2.71828.

In this case, we have:

N0 = 150 (initial number of wolves)

b = 0.15 (birth rate)

d = 0.37 (death rate)

To find when there will be 25 wolves in this group, we can substitute N(t) = 25 into the equation and solve for t. We get:

t = (1/(b-d)) * ln(N0/N(t))

Substituting the given values, we get:

t = (1/(0.15-0.37)) * ln(150/25)

Simplifying this equation gives us:

t ≈ **5.4 years**

Therefore, it would take approximately 5.4 years for the group of Alaskan wolves to reach a population of 25.