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.

Question

A. f(x) = 6(4)^x

B. f(x) = 4(x)^6

• C. f(x)= 4(6)^x

D. f(x) = 6 (x)^4

Answer 1

The scenario describes a population of rabbits that starts with 6 in year 0 and quadruples each year.

To express this mathematically:

• The starting population at year 0 is 6 rabbits.
• Each subsequent year, the number of rabbits is multiplied by 4.

Therefore, after \( x \) years, the number of rabbits can be represented by the function:

\[ f(x) = 6 \cdot (4)^x \]

So the correct choice is:

A. f(x) = 6(4)^x