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 value of x

We need to find the number of deer 3 years after the study begins, so \( x = 3 \).

Step2: Substitute x into the function

The function is \( f(x)=248(1.15)^{x} \). Substitute \( x = 3 \) into it: \( f(3)=248\times(1.15)^{3} \).

Step3: Calculate \( (1.15)^{3} \)

First, calculate \( 1.15\times1.15 = 1.3225 \), then \( 1.3225\times1.15 = 1.520875 \).

Step4: Multiply by 248

Now, multiply 248 by 1.520875: \( 248\times1.520875 = 248\times1.520875 = 377.177 \approx 377 \).

Answer:

B. 377