Task: Population of a Species The population of a species in the wild in Asia has been decreasing exponentially since 1980. This function represents the wild population of the species t years after 1980: W(t)=20000(0.95)t. 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. (Note: The function W(t) and the graph are not the same function!) [15 points] Use the graph to create a function to represent the number of the species that have been born in captivity, C(t). [15 points] About how long will it take for the number of the species born in captivity to be equal to the number of species remaining in the wild? [15 points] 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. [15 points] Predict the total population of the species in the world in 2020 if this trend continues.