document.write( "Question 79354: My teacher gave me a worksheet with the following problem:\r
\n" ); document.write( "\n" ); document.write( "A population of turtles are t years is described by the function p(t)=175(1.145)^t. How long does it take for the population to triple?\r
\n" ); document.write( "\n" ); document.write( "We are working on logs and interest and I remember doing problems like this before but I am having trouble starting it. \n" ); document.write( "

Algebra.Com's Answer #56952 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
A population of turtles are t years is described by the function p(t)=175(1.145)^t. How long does it take for the population to triple?\r
\n" ); document.write( "\n" ); document.write( "----------
\n" ); document.write( "Your equation implies they started with 175 turtles.
\n" ); document.write( "Tripling that number gives 25
\n" ); document.write( "EQUATION:
\n" ); document.write( "525=175(1.145)^t
\n" ); document.write( "Divide both sides by 175 to get:
\n" ); document.write( "3= 1.145^t
\n" ); document.write( "Take the log of both sides to get:
\n" ); document.write( "log3 = t*log1.145
\n" ); document.write( "t=[log3]/[log1.145]
\n" ); document.write( "t=8.11 years
\n" ); document.write( "It will take more than 8 years for the population of turtles to triple.
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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