Can some explain in detail? The table gives estimates of the world population, i
ID: 2867068 • Letter: C
Question
Can some explain in detail?
The table gives estimates of the world population, in millions, from 1750 to 2000.
Year Population
1750 790
1800 980
1850 1260
1900 1650
1950 2560
2000 6080
a) (a) Use the exponential model and the population figures for 1750 and 1800 to predict the world population in 1900 and 1950.
b)use the exponential model and the population figures for 1850 and 1900 to predict the world opulation in 1950.
c) Use the exponential model and the population figures for 1900 and 1950 to predict the world population in 2000.
million
Explanation / Answer
a)
980/790 ? 1.2405
P = 790(1.2405)^((t - 1750)/10)
P(1900) = 790(1.2405)^((1900 - 1750)/50)
P(1900) ? 1,508
1,508/1,650 => - 8.6%
P(1950) = 790(1.2405)^((1950 - 1750)/50)
P(1950) ? 1,871
1,871/2,560 => - 26.9%
b)1850 to 1900 = (1650 - 1260) / 50 = 7.8 people per year
1650 + (7.8 * 50) = 2040
This is also much less than the actual (2560) but is closer
c) 1900 to 1950 = (2560 - 1650) / 50 = 18.2 people per year
2560 + (18.2 * 50) = 3470
The is extremely less than the actual (6080)
The discrepancies occur because the 2nd power growth is not taken into account (that is, the later the year, the faster the growth per year).