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?\n251\n377\n856\n1,003

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?\n251\n377\n856\n1,003

Answer

Explanation:

Step1: Substitute x value

We are given the function $f(x)=248(1.15)^x$ and we need to find the number of deer when $x = 3$. So we substitute $x = 3$ into the function: $f(3)=248\times(1.15)^3$.

Step2: Calculate $(1.15)^3$

$(1.15)^3=1.15\times1.15\times1.15 = 1.520875$.

Step3: Multiply by 248

$f(3)=248\times1.520875=376.177\approx377$.

Answer:

377