Question

18. The table below gives the population of a town (in thousands) from the year 2000 to the year 2008. Year '00 '01 '02 03 04 '05 06 '07 '08 Population 87 84 83 80 77 76 78 81 85 (thousands) What was the average rate of change of population: a. between 2002 and 2004? b. between 2002 and 2006?

Answer 1

a . Average rate of change between 2002 and 2004 can be calculated below

`\begin{gathered} average\text{ rate of change=}\frac{chang\text{e in y}}{\text{change in x}} \\ average\text{ rate of change = }(77-83)/(2004-2002) \\ average\text{ rate of change}=(-6)/(2)=-3(thousand) \end{gathered}`

b. Average rate of change between 2002 and 2006 is

`\begin{gathered} \text{average rate of change = }(78-83)/(2006-2002) \\ average\text{ rate of change}=(-5)/(4)=-(5)/(4)(thousand) \end{gathered}`