math
posted by Alec on .
After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world population is expected to slow dramatically in the twentyfirst century. The function
G(t) = 1.58e−0.213t
gives the projected annual average percent population growth per decade in the tth decade, with t = 1 corresponding to 2000.†
(a) What will the projected annual average population growth rate be in 2020 (t = 3)? (Round your answer to two decimal places.)
% per decade
(b) How fast will the projected annual average population growth rate be changing in 2020 (t = 3)? (Round your answer to two decimal places.)
% per decade per decade

a. G(t0 = 1.58*e^n.
n = 0.213*t = 0.213*3 = 0.639.
G(t) = 1.58*e^0.639=1.58*0.5278=0.83.
% per decade.
b. 0.83%/dec. * (1/10dee.) =0.08 % per
decade per decade.