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

180
180

243
243

420
420

2916

Answer 1

To find the population of bunnies after 5 months using the equation \( P = 12(3)^x \), where \( x \) is the number of months since March, we need to substitute \( x = 5 \) into the equation.

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

Now we calculate \( 3^5 \):

\[ 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \]

Now we can plug this back into the equation:

\[ P = 12 \times 243 \]

Calculating \( 12 \times 243 \):

\[ 12 \times 243 = 2916 \]

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