The function f(x) = 1200(0.8)^x represents the possible elk population of a

Question

national park x years from now. What is the current population of elk at the park?
A. 1500
B. 768
C. 1200
D. 960

Answer 1

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.