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:
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Substitute \( x = 5 \): \[ P = 12(3)^5 \]
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Calculate \( 3^5 \): \[ 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \]
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Now substitute this value back into the equation: \[ P = 12 \times 243 \]
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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.