In 2000 the population of country A reached 5 million, and in 2025 it is projected to be 7.5 million. (a) Find values for Po and a so that the following formula models the population of country A in year x. х- 2000 f(x) = Poa (b) Estimate the country's population in 2010 to the nearest hundredth of a million. (c) Use f to determine the year during which the country's population might reach 13 million. (a) Find values for P, and a. Po =million (Round to the nearest hundredth as needed.) (Round to five decimal places as needed.) (b) The population in 2010 will be million. (Use the rounded answer from part (a) to find this answer. Round to the nearest hundredth as needed.) (c) The country's population might reach 13 million during the year (Use the rounded answer from part (a) to find this answer. Round down to the nearest year.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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In 2000 the population of country A reached 5 million, and in 2025 it is projected to be 7.5 million.
(a) Find values for Po and a so that the following formula models the population of country A in year x.
х- 2000
f(x) = Poa
(b) Estimate the country's population in 2010 to the nearest hundredth of a million.
(c) Use f to determine the year during which the country's population might reach 13 million.
(a) Find values for P, and a.
Po =million
(Round to the nearest hundredth as needed.)
(Round to five decimal places as needed.)
(b) The population in 2010 will be million.
(Use the rounded answer from part (a) to find this answer. Round to the nearest hundredth as needed.)
(c) The country's population might reach 13 million during the year
(Use the rounded answer from part (a) to find this answer. Round down to the nearest year.)
Transcribed Image Text:In 2000 the population of country A reached 5 million, and in 2025 it is projected to be 7.5 million. (a) Find values for Po and a so that the following formula models the population of country A in year x. х- 2000 f(x) = Poa (b) Estimate the country's population in 2010 to the nearest hundredth of a million. (c) Use f to determine the year during which the country's population might reach 13 million. (a) Find values for P, and a. Po =million (Round to the nearest hundredth as needed.) (Round to five decimal places as needed.) (b) The population in 2010 will be million. (Use the rounded answer from part (a) to find this answer. Round to the nearest hundredth as needed.) (c) The country's population might reach 13 million during the year (Use the rounded answer from part (a) to find this answer. Round down to the nearest year.)
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