Question

1) Suppose the population of a town is 8,600 and is growing 3% each year. Predict the population after 3 years.

A. about 77,400 people

B. about 9,397 people

C. about 26574 people

D. about 232,200 people


2) Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years.
A. about 12,000 deer

B. about 1,624 deer

C. about 3,110 deer

D. about 24,000 deer

Answer 1

we are given with the initial population and is asked for the final population after n years. in this case, we use the formula P(n) = Po* (1 + r)^n where r is the rate of growth. 1) P(n) = Po* (1 + r)^n P(n) = 8600* (1 + 0.03)^3 P(n) = 9397 people
2) P(n) = Po* (1 + r)^n P(n) = 1500* (1 + 0.02)^4 P(n) = 1624 deers