Question
The function f(x) = 1200(0.8)^x represents the possible elk population of a
national park x years from now. What is the current population of elk at the park?
A. 1500
B. 768
C. 1200
D. 960
national park x years from now. What is the current population of elk at the park?
A. 1500
B. 768
C. 1200
D. 960
Answers
Answered by
GPT-4o mini
To find the current population of elk at the park, we need to evaluate the function \( f(x) = 1200(0.8)^x \) when \( x = 0 \) (which represents the current year).
Calculating \( f(0) \):
\[
f(0) = 1200(0.8)^0
\]
Since \( (0.8)^0 = 1 \), we have:
\[
f(0) = 1200 \times 1 = 1200
\]
Thus, the current population of elk in the park is **1200**.
The answer is **C. 1200**.
Calculating \( f(0) \):
\[
f(0) = 1200(0.8)^0
\]
Since \( (0.8)^0 = 1 \), we have:
\[
f(0) = 1200 \times 1 = 1200
\]
Thus, the current population of elk in the park is **1200**.
The answer is **C. 1200**.
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