The population of a country in 2010 was approximately 37 million with an annual growth rate of 0.804%. At this rate, the population P(t) (in millions) can be approximated by P (t) = 37(1.00804)', where t is the time in years since 2010.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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The population of a country in 2010 was approximately 37 million with an annual growth rate of 0.804%. At this rate, the population P (t) (in millions) can be
approximated by P (t) = 37(1.00804), where t is the time in years since 2010.
Transcribed Image Text:The population of a country in 2010 was approximately 37 million with an annual growth rate of 0.804%. At this rate, the population P (t) (in millions) can be approximated by P (t) = 37(1.00804), where t is the time in years since 2010.
(a) Is the graph of P an increasing or decreasing exponential function?
(b) Evaluate P (0) and interpret its meaning in the context of this problem.
(c) Evaluate P (6) and interpret its meaning in the context of this problem. Round the population value to the nearest million.
(d) Evaluate P (18) and P (30). Round the population value to the nearest million.
Transcribed Image Text:(a) Is the graph of P an increasing or decreasing exponential function? (b) Evaluate P (0) and interpret its meaning in the context of this problem. (c) Evaluate P (6) and interpret its meaning in the context of this problem. Round the population value to the nearest million. (d) Evaluate P (18) and P (30). Round the population value to the nearest million.
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