I have put together the math in words, please help me show the work in a math format. Info below
To find the population growth rate subtract the population of 2006 from 2007. Divide that answer by the 2006 population.
Australia’s growth rate from 2006 to 2007 was 0.67% per year.
1). 20,743,300 subtract 20,605,500 divided by 20,605,500 which equal the Population growth which is .00668 = 0.67%
2). 20,743,300 times .0067 equals the amount of growth of the population in 2007 which equals 138981
3). Find the approximate population which is 138981 + population of 2007 (which is 20,743,300) = 2008 population which is 20,882,281( 26 January 2008)
Using Australia data in the reference
20,882,281( 26 January 2008)
20,743,300 (26 January 2007)
20,605,500 (26 January 2006)
20,171,300 (26 January 2005)
It isn't clear what data you are given and what you are asked to calculate. It appears that you took the growth rate from Jan 2006 to 227, and assumed the same to predict the population rate in 2008.
2007 growth rate
= (20,743,300-20,605,500)/20,605,500
= 0.669%
2008 population = (20,743,300)(1.00669) = 20,882,100
To show the work in a math format, we can follow the steps mentioned in the explanation.
1) To find the population growth rate, we subtract the population of 2006 from 2007 and divide that answer by the 2006 population.
Let's denote the population of 2006 as P2006, the population of 2007 as P2007, and the population growth rate as r.
We have P2006 = 20,605,500 and P2007 = 20,743,300.
Population growth rate, r = (P2007 - P2006) / P2006
Substituting the values, we get:
r = (20,743,300 - 20,605,500) / 20,605,500
r = 0.00668 or 0.668% (rounded to two decimal places)
Therefore, the population growth rate from 2006 to 2007 is 0.668%.
2) To calculate the amount of growth in the population in 2007, we multiply the population of 2007 by the growth rate.
Let's denote the amount of growth in the population in 2007 as G2007.
We have P2007 = 20,743,300 and the growth rate r = 0.00668.
G2007 = P2007 * r
Substituting the values, we get:
G2007 = 20,743,300 * 0.00668
G2007 = 138,981
Therefore, the amount of growth in the population in 2007 is 138,981.
3) To find the approximate population in 2008, we add the amount of growth in 2007 to the population of 2007.
Let's denote the population of 2008 as P2008.
We have G2007 = 138,981 and P2007 = 20,743,300.
P2008 = P2007 + G2007
Substituting the values, we get:
P2008 = 20,743,300 + 138,981
P2008 = 20,882,281
Therefore, the approximate population in 2008 is 20,882,281.