Question

Find the average growth rate in numbers of jobs per year from 2008 untilthe low point found in #3 part (a). Explain what this average growth ratemeans in the context of this problem. Ii. Assuming the pattern continues, estimate how many jobs there willbe in 2019.

Answer 1

we have that

2008 ------> number of jobs 12.2

2009 -----> number of jobs 11.2

the formula to find out the average rate

$\frac{f(b)-f(a)}{b-a}$

where

a=2008

b=2009

f(a)=f(2008)=12.2

f(b)=f(2009)=11.2

substitute

$\frac{11.2-12.2}{2009-2008}=-\frac{1}{1}=-1\frac{jobs}{\text{year}}$

the average rate is -1

Is negative ----> that means ----> is not a growth rate, is a decay rate

Part 2

Assuming the pattern continues, estimate how many jobs there will

be in 2019

we have

a=2009

b=2019

f(a)=11.2

f(b)=x

substitute

$\frac{x-11.2}{2019-2009}=-1$

solve for x

x-11.2=-10

x=-10+11.2

x=1.2 jobs