Question

The population of a species in the wild in Asia has been decreasing exponentially since 1980. This function represents the population of the species t years after 1980: W(t) = 20,000(0.95t).

The Wildlife Refuge Foundation noticed this trend before 1980 and decided to try to help reduce the population decline by breeding the species in captivity. The graph shows the number of these animals that have been born in captivity since 1980.

a. About how long will it take for the number of the species born in captivity to be equal to the number of the species remaining in the wild?

Type your response here: I think 46

b. Create a function to represent the number of the species that have been born in captivity, C(t).

Type your response here: C(t) is=20t (0.95)

c. Assuming that the species has a long life span and that all those born in captivity are still alive today, create a function, P(t), to represent the total number of the species that are alive, both in the wild and in captivity.

Type your response here:p(t)=20t+20,000(0.95)

d. At what point would you say that the program to breed the species in captivity stops the decline in population? Explain.

Type your response here: it will stop at 143 years

e. If this trend continues, about what will be the total population of the species in the world in 2020?

Type your response here:

f. How many more of the species will be alive in 2020 because of the breeding program?

Type your response here: