Question

scientists studied a deer population for 10 years. they generated the function ( f(x) = 248(1.15)^x ) to approximate the number of deer in the population ( x ) years after beginning the study. about how many deer are in the population 3 years after beginning the study?
○ 251
○ 377
○ 856
○ 1,003

Explanation:

Step1: Identify the function and input

The function is \( f(x) = 248(1.15)^x \), and we need to find \( f(3) \) (since \( x = 3 \) years).

Step2: Substitute \( x = 3 \) into the function

First, calculate \( (1.15)^3 \). \( 1.15^3=1.15\times1.15\times1.15 = 1.15\times1.3225=1.520875 \)
Then, multiply by 248: \( f(3)=248\times1.520875 \)

Step3: Perform the multiplication

\( 248\times1.520875 = 248\times1 + 248\times0.5 + 248\times0.020875=248 + 124+5.177=377.177\approx377 \)

Answer:

377