Question

3. The population of the Earth is approximately 7.1 billion people and is growing at an annual rate of 1.3 % . a ) Find the approximate and exact doubling time of the Earth’s population . Show your work , round to 1 decimal place , and label your answer . Approximate : Exact : b ) Use the approximate doubling time to find the population 20 years from now . Show your work , round to 1 decimal place , and label your answer .

3. The population of the Earth is approximately 7.1 billion people and is growing at an annual rate of 1.3%. a) Find the approximate and exact doubling time of the Earth's population. Show your work, round to 1 decimal place, and label your answer. Approximate: Exact: b) Use the approximate doubling time to find the population 20 years from now. Show your work, round to 1 decimal place, and label your answer.

Answer 1

Given population Po Po = 7.1 billion 0.013 annual rate rate r= 1,3% wing formula Plt) Pient p(t) - 28. (a) Population will double 0,013t 2po Poe 0,013 t 2=e ln (2) = 0.013t t= ln (2) 0,013 ta 53.3 years The doubling time of earth's of earth's population is 53.3 years (6) Given t= 20 years p(20) 0.013 (20) = 7.1 e é P(20) a 9.2 The population aftes to year aftes to year is (9.2 billion