In 2000 the nations of Mali and Cuba had similar size populations: Mali 11.2 million, Cuba 11.1 million. However, the relative growth for Mali was 3.1%/year, whereas that for Cuba was 0.7%/year. (a) Assuming exponential growth at the given rates, make projections for each population in the year 2010. Mali 17.8 million Cuba 123 million (b) When might the population of Mali reach 20 million? (Round 19 your answer to the nearest whole number) 19 y What would the population of Cuba be at that time? () 12.7 million Solution Pollution increases exponentially given by: P = P0 ert , where r = rate of growth , t= time period -->>Now , population for Mali in 2010 , t=10(since 2000) , r=3.1% = 0.031 P2010 = 11.2 e(0.031 x 10) = 11.2e(0.31) = 15.3 million -->> Population for nations of cuba , P0 = 11.1 millon , t=10 , r=0.7% = 0.007 P2010 = 11.1 e(0.007 x 10) = 11.1e(0.07) = 11.9 millon.

1. In 2000 the nations of Mali and Cuba had similar size populations: Mali 11.2 million, Cuba 11.1
million. However, the relative growth for Mali was 3.1%/year, whereas that for Cuba was
0.7%/year. (a) Assuming exponential growth at the given rates, make projections for each
population in the year 2010. Mali 17.8 million Cuba 123 million (b) When might the
population of Mali reach 20 million? (Round 19 your answer to the nearest whole number) 19 y
What would the population of Cuba be at that time? () 12.7 million
Solution
Pollution increases exponentially given by:
P = P0 ert , where r = rate of growth , t= time period
-->>Now , population for Mali in 2010 , t=10(since 2000) , r=3.1% = 0.031
P2010 = 11.2 e(0.031 x 10) = 11.2e(0.31) = 15.3 million
-->> Population for nations of cuba , P0 = 11.1 millon , t=10 , r=0.7% = 0.007
P2010 = 11.1 e(0.007 x 10) = 11.1e(0.07) = 11.9 millon