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.
This is an example only. What can be a simialr equation with differnet numbers using logs and can have a mistake in one of the steps and what will be the correct way to solve it. Thanks
Can we have an exponential equation using logarithm however i want to show that one mistake is involved in solving it. Showing the mistake and how to be fixed. Thanks.
Is it possible to show me how to come up with an exponential equation by showing all the steps work and including at least one mistake that me as a person can make. Like a calculation mistake and high light what the mistake is. Thanks so much.
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