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a The population of Kenya was 30.7 million in the year 2000 and 38.3 million in 2010. a) Find the growth rate constant k for the exponential function that models Kenya's population after the year 2000. Let t=0 represent the year 2000. Round to the nearest ten-thousandths place. b) Use the function from part a) to predict the population of Keya in 2025. Round to the nearest tenth of a million. years c) Use the function from part a) to predict what year the population of Kenya will reach 100 million.

a The population of Kenya was 30.7 million in the year 2000 and 38.3 million in 2010. a) Find the growth rate constant k for the exponential function that models Kenya's population after the year 2000. Let t=0 represent the year 2000. Round to the nearest ten-thousandths place. b) Use the function from part a) to predict the population of Keya in 2025. Round to the nearest tenth of a million. years c) Use the function from part a) to predict what year the population of Kenya will reach 100 million.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8) The population of Kenya was 30.7 million in the year 2000 and 38.3 million in 2010. a) Find the growth rate constant k for the exponential function that models Kenya's population f years after the year 2000. Let 0 represent the year 2000. Round to the nearest ten-thousandths place. b) Use the function from part a) to predict the population of Kenya in 2025. Round to the nearest tenth of a million. c) Use the function from part a) to predict what year the population of Kenya will reach 100 million.
Transcribed Image Text:8) The population of Kenya was 30.7 million in the year 2000 and 38.3 million in 2010. a) Find the growth rate constant k for the exponential function that models Kenya's population f years after the year 2000. Let 0 represent the year 2000. Round to the nearest ten-thousandths place. b) Use the function from part a) to predict the population of Kenya in 2025. Round to the nearest tenth of a million. c) Use the function from part a) to predict what year the population of Kenya will reach 100 million.
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