|
Year
|
World Population (millions)
|
Relative rate of growth (percentage/year)
|
|
1650
|
550
|
0.28
|
|
1750
|
725
|
|
|
1850
|
1175
|
|
|
1900
|
1600
|
|
|
1950
|
2556
|
|
|
1980
|
4458
|
|
|
1999
|
5996
|
Let P=P(o)e^(kt) models population growth between two successive years (exponential growth), k=(1/t)ln (P/P(0)) where
P(o)= population in earlier year
P= population in later year
K=relative rate of growth of world population per year (k constant)
T= numbers of years between two successive dates
a) Utilize formula to fill in missing values of k (convert to % per year), relative exponential rate of growth between each pair of years. First value is shown. If growth were exponential for whole period, values of k would be about same. Are they?
b)What would world population have been in1980 if it had continued to grow exponentially at relative rate of .28% per year from 1650 to 1980 (convert .28% to a decimal to use it in formula)