document.write( "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%.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a. What is the growth factor of the town?
\n" ); document.write( "b. Determine an exponential equation that models the population growth P in t years.
\n" ); document.write( "c. Using the equation in (b), determine the population of the town in 2010. \n" ); document.write( "

Algebra.Com's Answer #830602 by ikleyn(52802) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "In 2005, a certain town in la union has a population of 32400.
\n" ); document.write( "Each year, the population increases at a constant rate of about 7%.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a. What is the growth factor of the town?
\n" ); document.write( "b. Determine an exponential equation that models the population growth P in t years.
\n" ); document.write( "c. Using the equation in (b), determine the population of the town in 2010.
\n" ); document.write( "~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "(a)  The growth factor is   = 1.07 annually.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     It means that the population every next year is the population of the current year \r\n" );
document.write( "     multiplied by this factor.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  Exponential function is  P = ,  where t is the number of years after 2005.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(c)  To determine the population of the town in 2010, take t= 5 years after 2005\r\n" );
document.write( "\r\n" );
document.write( "     substitute into the formula and calculate using your calculator.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "At this point I completed my post, having answered all your questions.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you want to learn more on population growth problems or if you want to see
\n" ); document.write( "many solved problems on population growth, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Population growth problems \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Logarithms\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );