Question

In 2010 the town of Applewood had an estimated population of 22,000 people, and its annual growth rate was estimated to be 1.8%.

Answer 1

Answer:

The answer in the procedure

Step-by-step explanation:

Let

P------> the population of Applewood

n-----> the number of years since 2010

we have

$P(n)=22,000(1.018^{n})$

using a graphing tool

see the attached figure

Verify each conclusion

a) The population of Applewood, P(n), equals 0 when n = 0

The conclusion is No

For n=0

The population is equal to P(0)=22,000 people

b) The behavior of the left end of the graph flattens out indicating that as n approaches negative infinity the population of Applewood approaches 0

The conclusion is Yes

see the graph

c) The behavior of the right end of the graph is upward indicating that as n approaches infinity the population of Applewood approaches infinity

The conclusion is Yes

see the graph