Use the information to answer the following questions.
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 function rule will be quadratic.
B. The y-intercept of the graph will be different.
C. The coefficient will become 2.
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.
OF. As the number of years increases, the graph of
this model will be less steep than the graph of
the original model.