scientists studied a deer population for 10 years. they generated the function $f(x) = 248(1.15)^x$ to…

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?\n○ 251\n○ 377\n○ 856\n○ 1,003

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?\n○ 251\n○ 377\n○ 856\n○ 1,003

Answer

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