Final answer:
To predict the wolf population in Yellowstone after 10 years with a consistent growth rate of 10.52%, we use the exponential growth formula, applying the given initial population and growth rate to solve for the future population.
Step-by-step explanation:
The question asks about exponential growth, specifically pertaining to the growth of a reintroduced wolf population in Yellowstone National Park. To calculate the future population of wolves from an initial population under exponential growth, we use the formula:
P(t) = P0 × e(r×t)
Where P(t) is the future population after time t, P0 is the initial population, r is the growth rate, and e is the base of the natural logarithm. Assuming the growth rate is consistent at 10.52% and using the given initial population of 200 wolves, we can calculate the expected population after 10 years:
P(10) = 200 × e(0.1052×10)
After solving for P(10), we can determine how many wolves are expected to be in Yellowstone after 10 years given the current growth trend.