Population Growth.
The population P, in thousands, of a senior community is given by

Where t is the time, in months.
a) Graph the function on the interval [0, (] .
b) Find the population at t = 0, 1, 3, and 8 months.
c) Find the horizontal asymptote of the graph and complete the following

d) Explain the meaning of the answer to part (c) in terms of the application.
e) Find the maximum population and the value of t that will yield it.

Transcribed Image Text:

P-00 500t ast_→ 00, > oo.