Answer :
The growth in the years 2009-2018 is 0.3
We know that at in 2018 there were 14.1 jobs, and in 2009 11.4
We need to take the diference of jobs between 2009 and 2018.
Then: 14.1 - 11.4 = 2.7
That's the total growth in the period. To know the anual average rate, we divide this quantity by the number of years.
2018 - 2009 = 9
Then the growth rate is:
[tex]\frac{2.7}{9}=0.3[/tex]Now to solve ii, we need to estimate the jobs in 2017.
The growth rate tell us how much the jobs varies in a year, then we can multiply the amount of years between 2009-2017 by the rate, then add that amount to the base jobs that were in 2009
2017 - 2009 = 8
[tex]0.3\cdot8=2.4[/tex]This means, in the years between 2009-2017 the amount of jobs vary in 2.4 jobs. But to know the total, we need to count the jobs that already existed in 2009. Then we add them:
[tex]11.4+2.4=13.8[/tex]The answer is 13.8 jobs in 2009