Question 1197357: In 2005, a certain town in la union has a population of 32400. Each year, the population increases at a constant rate of about 7%.
a. What is the growth factor of the town?
b. Determine an exponential equation that models the population growth P in t years.
c. Using the equation in (b), determine the population of the town in 2010.
Answer by ikleyn(52899)   (Show Source):
You can put this solution on YOUR website! .
In 2005, a certain town in la union has a population of 32400.
Each year, the population increases at a constant rate of about 7%.
a. What is the growth factor of the town?
b. Determine an exponential equation that models the population growth P in t years.
c. Using the equation in (b), determine the population of the town in 2010.
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(a) The growth factor is  = 1.07 annually.
It means that the population every next year is the population of the current year
multiplied by this factor.
(b) Exponential function is P =  , where t is the number of years after 2005.
(c) To determine the population of the town in 2010, take t= 5 years after 2005
substitute into the formula and calculate using your calculator.
At this point I completed my post, having answered all your questions.
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If you want to learn more on population growth problems or if you want to see
many solved problems on population growth, look into the lesson
- Population growth problems
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Logarithms".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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