Question

On an island, the deer population has been decreasing by 4% per year (). The current population is 792 deer.

Assume that the deer population continues to decrease by 4% per year. Which of the following logarithmic equations best models the number of years it will take for the deer population to decrease from 792 deer to 674 deer?

Answer 1

X = log(0.96)(0.85)

Explanation:

Given that on an island, the deer population has been decreasing by 4% per year and the current population is 792 deer, assuming that the deer population continues to decrease by 4% per year, to determine the number of years it will take for the deer population to decrease from 792 deer to 674 deer the following calculation must be performed:

792 x 0.96 ^ X = 674

X = 3.95

So, rounded to whole numbers, it will take 4 years for the deer population to drop to 674.