Question

how does the average rate of change of thepopulation from 2013 to 2015 compare to thatfrom 2011 to 2013? explain what this means interms of the population of the country.

Answer 1

Explanation

We are asked to get the average rate of change for the population from 2013 to 2015

To do so, we will use the formulas:

$\frac{f(2015)-f(2013)}{2015-2013}$

from the graph:

f(2015)= 39.1

f(2013) =38.4

So that

$\frac{f(2015)-f(2013)}{2015-2013}=\frac{39.1-38.4}{2}=\frac{0.7}{2}=0.35\text{ }millions\text{ per year}$

Also

$\begin{gathered} f(2013)=38.4 \\ f(2011)=37.7 \end{gathered}$

So that

$\frac{f(2013)-f(2011)}{2013-2011}=\frac{38.4-37.7}{2}=\frac{0.7}{2}=0.35\text{ millions per year}$

Since we have the same average rates: 0.35 million per year, the average rate didn't change

Therefore average population change between 2013 and 2015 compared to 2011 to 2013 are the same