The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%. At this rate, the population P ( t ) (in millions) can be approximated by P ( t ) = 34 ( 1.00804 ) t , where t is the time in years since 2010. ( Source: www.cia.gov) 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 ( 5 ) and interpret its meaning in the context of this problem. Round the population value to the nearest million. d. Evaluate P ( 15 ) and P ( 25 )
The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%. At this rate, the population P ( t ) (in millions) can be approximated by P ( t ) = 34 ( 1.00804 ) t , where t is the time in years since 2010. ( Source: www.cia.gov) 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 ( 5 ) and interpret its meaning in the context of this problem. Round the population value to the nearest million. d. Evaluate P ( 15 ) and P ( 25 )
Solution Summary: The author analyzes whether the graph of P(t)=34 (1.00804 )t is an increasing or decreasing function.
The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%. At this rate, the population
P
(
t
)
(in millions) can be approximated by
P
(
t
)
=
34
(
1.00804
)
t
, where t is the time in years since 2010. (Source: www.cia.gov)
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
(
5
)
and interpret its meaning in the context of this problem. Round the population value to the nearest million.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY