A lake holds a population of 600,000 trout. The natural growth rate of the trout population is 5%. Fishing removes 35,000 trout each year from the lake. Set up a differential equation modeling the fish population as a function of time. Solve it to find out if and when the fish population will be completely depleted. (Compute your answer to 3 decimal places.)

The fish population of Lake Oconee is decreasing at a rate of 3% per year. In 2014 there were about 1300 fish. Write an exponential decay function to model this situation. Then find the population in 2020. O A y = 1300(0.97)* The population in 2020 will be exactly 1,082.86 fish. y = The population in 2020 will be about 1,083 fish. 1300(0.97) y = 1300(0.03)t The population in 2020 will be about 234 fish. y = 1300(0.7) The population in 2020 will be about 153 fish.

In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was measured again to be 9,700. If the population continues to change exponentially, find an equation for the moose population, P, as a function of t, the years since 2013. Round numbers to 3 decimal places as needed. What does your model from above predict the moose population to be in 2022?

A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted, and after 3 years the population had grown to 665 wolves. If the population grows exponentially according to the formula P₁ = Po(1 + r)t (a) Find the growth rate. Round your answer to the nearest tenth of a percent. r = (b) If this trend continues, how many wolves will there be in ten years? wolves (c) If this trend continues, how long will it take for the population to grow to 1000 wolves? Round your answer to the nearest tenth of a year. years