Question

experts fear that without conservation efforts, an endangered species could disappear from the wild by 2022. just one hundred years ago, there were at least 100,000 of this endangered species. by 2010, the estimated world population of this endangered species was 13,300. the bar graph shows the estimated world population of this endangered species for selected years from 1970 through 2010. also shown is a polynomial function, with its graph, that models the data. use this information to complete parts a through c. click the icon to view the bar graph and the graph of the polynomial function. a. find and interpret f(40). in the year the polynomial estimates the population of this species to be (round to the nearest integer as needed.)

Explanation:

Step1: Determine the base - year

Assume 1970 is year 0. Then year 40 corresponds to 1970 + 40=2010.

Step2: Evaluate the function

We need to use the given polynomial function \(f(x)\) (not shown here, but in a real - case we would substitute \(x = 40\) into the polynomial). Let's assume the polynomial function is \(f(x)=a_nx^n+\cdots+a_1x + a_0\). We substitute \(x = 40\) into it: \(f(40)=a_n(40)^n+\cdots+a_1(40)+a_0\) (perform the arithmetic operations according to the polynomial's coefficients).

Answer:

In the year 2010, the polynomial estimates the population of this species to be <Value obtained from evaluating \(f(40)\) and rounding as needed>.