I get so lost in algebra and have now resulted in seeking ad
the average annual rate of world population growth,
how many years from 2010 till the world population reaches approximately 10 billion,
how many years from 2010 till the world population reaches approximately 20 billion.
As a brief reminder, i t is the number of years, P is the initial population, S is the inital
population, and r is the average annual rate of growth as a decimal, then we have
S= P(1 + r)t
from exponential growth. A previously employed, but disgruntled, analyst provided us with
the formula of
(S)^t
(P) = 1 +r
If this is correct, please provide a supporting derivation, but based on the analyst's work it
should be treated with skepticism.
What I know:
I have to determine the growth of populaltion from 2010 which is 6,961,696,258 until it reaches 10 billion, then 20 billion.
I first used the new population-old population/old population x .100 to determine the rate of growth. I know the rate of growth is 1.61
I also know that I have to take the 10 billion and / by the 6,961,696,258 = 1.43 or 1.44 and I would do the same for the 20 billion, which would be 2.8
then what? This is where I get stumped. How do I determine what t is?
I also need to use logarithms and exponential functions and graphs. HELP!!
San
the average annual rate of world population growth,
how many years from 2010 till the world population reaches approximately 10 billion,
how many years from 2010 till the world population reaches approximately 20 billion.
As a brief reminder, i t is the number of years, P is the initial population, S is the inital
population, and r is the average annual rate of growth as a decimal, then we have
S= P(1 + r)t
from exponential growth. A previously employed, but disgruntled, analyst provided us with
the formula of
(S)^t
(P) = 1 +r
If this is correct, please provide a supporting derivation, but based on the analyst's work it
should be treated with skepticism.
What I know:
| Years since 1960 | Global Population |
| 0 | 3,306,838,295 |
| 10 | 3,837,720,844 |
| 20 | 4,453,831,714 |
| 30 | 5,168,853,532 |
| 40 | 5,998,665,542 |
| 50 | 6,961,696,258 |
I have to determine the growth of populaltion from 2010 which is 6,961,696,258 until it reaches 10 billion, then 20 billion.
I first used the new population-old population/old population x .100 to determine the rate of growth. I know the rate of growth is 1.61
I also know that I have to take the 10 billion and / by the 6,961,696,258 = 1.43 or 1.44 and I would do the same for the 20 billion, which would be 2.8
then what? This is where I get stumped. How do I determine what t is?
I also need to use logarithms and exponential functions and graphs. HELP!!
San