A rabbit population can increase at a rapid rate if left unchecked. Assume that 10 rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year for the next 5 years as shown in the table. Year

Rabbit Population

0

10

1

30

2

90

3

270

4

810

5

2,430

Part B: Consider the new population.

New Population: A group of rabbits of a different kind (with the same initial value) is placed in a second enclosed wildlife ranch. The new population of rabbits doubles each year if left unchecked.

Which of the following statements must be TRUE about the model for the new rabbit population when compared to the model you developed for the original rabbit population in Part A? Select all that apply.

A.
The coefficient will become 2.

B.
The y-intercept of the graph will be different.

C.
The function rule will be quadratic.

D.
The base of the exponent will change from 3 to 2.

E.
As the number of years increases, the graph of this model will be steeper than the graph of the original model.

F.
As the number of years increases, the graph of this model will be less steep than the graph of the original model.