Question

PLEASE HELP

Ten rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year, as shown in the table.



Year Rabbit Population
0 10
1 30
2 90
3 270
4 810
5 2,430
Complete each of the 2 activities for this Task.
Activity 1 of 2
Write an equation where y represents the number of rabbits in x years.






Activity 2 of 2
A second population of 10 rabbits is placed in a second enclosed wildlife ranch and doubles each year.



Select all statements that are TRUE when comparing the equation of the second group of rabbits to the first group.

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

B.
The function will become quadratic.

C.
The y-intercept will change.

D.
The second population will increase less rapidly.

Answer 1

C

Explanation:

First, we have to find the equation that will give the rabbit population as a function of time and the initial population.

The equation we need turns out to be Population = a0 x 3y where a0 is the initial population and y is the number of years,

To find the rabbit population when a0 = 30 and y =3, use the equation to get Population = 30 x 33 = 810.

You can now find the difference in the number of rabbits at year 3 for the different starting populations.