Question

Part C: Of the following choices, which equation is the best fit line for the data

A f(x) = 34x - 320 B f(x) = -34x - 320 C f(x) = 34x 320 D f(x) = -34x 320

Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.

Part E: In what year is the population predicted to go extinct?

Answer 1

Explanation:

Part C: Of the following choices, which equation is the best fit line for the data

As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.

So we have: C and D left.

Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.

D f(x) = -34x + 320

Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.

year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320

<=> f(x) = -34*5 + 320

= 150 mil

The result is smaller than the real data, (201-150 = 51 mil)

Part E: In what year is the population predicted to go extinct

the population predicted to go extinct when f(x)= 0

<=> -34x + 320 = 0

<=> x ≈ 9.4

So after 10 years, the the population predicted to go extinct