The population of bunnies in March is 12. A researcher notices that the population is tripling each month. The population can be represented by the equation P = 12(3)^x

Question

where x is the number of months since March. What will the population of bunnies be after 5 months? (1 point)
Responses

420
420

243
243

2916
2916

180
180

Answer 1

To find the population of bunnies after 5 months, we can use the given equation \( P = 12(3)^x \), where \( x \) represents the number of months since March.

In this case, we want to find \( P \) when \( x = 5 \):

\[ P = 12(3)^5 \]

First, we calculate \( 3^5 \):

\[ 3^5 = 243 \]

Now, substituting \( 243 \) back into the equation:

\[ P = 12 \times 243 \]

Calculating \( 12 \times 243 \):

\[ 12 \times 243 = 2916 \]

Thus, the population of bunnies after 5 months will be 2916.