Question

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

420
420

2916
2916

180
180

243
243

1 answer

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 can substitute \( x = 5 \) into the equation.

Let's calculate it step by step:

  1. Substitute \( x = 5 \): \[ P = 12(3)^5 \]

  2. Calculate \( 3^5 \): \[ 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \]

  3. Now substitute this value back into the equation: \[ P = 12 \times 243 \]

  4. Finally, calculate \( 12 \times 243 \): \[ 12 \times 243 = 2916 \]

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

So, the correct answer is 2916.