Question

please help! where it says “select” the options are 1997-2006

Answer 1

We can find the average rate of change of change using the following expression:

$m=\frac{y_2-y_1}{x_2-x_1}$

for the period betwen 1999 and 2002, we have the following:

$\begin{gathered} m=\frac{1483-1336}{2002-1999}=\frac{147}{3}=49 \\ \Rightarrow m=49 \end{gathered}$

therefore, the average rate of change of population between 1999 and 2000 is 49.

Next, we do the same for the period between 2001 to 2005:

$\begin{gathered} m=\frac{801-1591}{2005-2001}=-\frac{790}{4}=-197.5 \\ \Rightarrow m=-197.5 \end{gathered}$

thus, the average rate of change of population between 2001 and 2005 is 197.5

Finally, notice that the population increased from 1997 to 2001, while it decreased from 2002, to 2006