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.
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<pre>
(a)  The growth factor is  {{{1+0.07}}} = 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 = {{{32400*1.07^t}}},  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.
</pre>


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, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/logarithm/Population-growth-problems.lesson>Population growth problems</A> 

in this site.



Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic "<U>Logarithms</U>".



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.