Question

Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years? Write a function to represent this scenario.
A. f(x) = 6(x)^4
B. f(x) = 4(6)^x
C. f(x) = 4(x)^6
D. f(x) = 6(4)^x

Answer 1

C. is the right answer.

Answer 2

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Initial population of rabbits = A = 6

Each year, there were 4 times as many rabbits as the year before.

i.e. b = 4

Let the number of years be x.

So, our required equation will be

$f(x)=Ab^x=6(4)^x$

Hence, Option 'D' is correct.