please help me with this questions

Population Growth Practice

1. A population of 265 swans are introduced to Circle Lake. The population's birth rate is 0.341 swans year, and the death rate is 0.296 swans/year. What is the rate of population growth?

Breaking down the question:

a. What variable are you solving for?

b. What is the rate of population growth (show all work)?

2. There are[190 gray treefrogs in a swamp. If = - 0.093 frogs/year, predict the population size of gray treefrogs next year (show all work).

3.population of 1,492 Baltimore Orioles is introduced to an area of Nerstrand woods. Over the next year, the Orioles show a death rate of 0.395 and the population drops to 1,134. What's the birth rate for this population (show all work)?

4. 780 turkeys live in Merriam township, which is 92 acres in size. The birth rate is 0.472 turkeys/ year. The death rate is 0.331 turkeys/ year. How many turkeys would you expect to be added to the population in one year (show all work)?

5. One dandelion plant can produce many seeds, leading to a high growth rate for dandelion populations. If a population of dandelions is currently 40 individuals, and rmax.8 dandelions per month, predict dA/dt if these dandelions would grow exponentially (show all work).

a. Imagine the dandelions mentioned above cannot grow exponentially, due to lack of space.The carrying capacity for their patch of lawn is 70 dandelions. What is their dN/dt in this logistic growth situation (show all work)?

b. Now imagine the dandelions have a carrying capacity of 50, not 70. What is their dN/dt in this logistic growth situation (show all work)?

6. What happens to population growth as the population size gets closer to carrying capacity? Use your answers from above to help justify your claim.

7. A population of 250 birds inhabit the canopy of a tropical rain forest that has a carrying capacity Of 400 birds. What is the maximum population growth rate (r max ) if the population grows to 283 in one year (show all work)?