A lake is stocked with 640 fish of a new variety. The size of the lake, the

Question:

A lake is stocked with 640 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict the growth of that type of fish in the lake to a limiting value of 3040. The population of fish in the lake after time t, in months, is given by the function
P(t) = 3040 / (1 + 3.75e-0.32t)
a) Graph the function.
b) Find the population after 0, 1, 5, 10, 15, and 20 months.