document.write( "Question 267560: At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000. Write an exponential function to model the population y of bacteria x hours after 2pm.
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Algebra.Com's Answer #196361 by ankor@dixie-net.com(22740)\"\" \"About 
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At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000.
\n" ); document.write( " Write an exponential function to model the population y of bacteria x hours after 2pm.
\n" ); document.write( ":
\n" ); document.write( "Ao*k^x = A
\n" ); document.write( "where
\n" ); document.write( "Ao is the initial amt
\n" ); document.write( "k = constant factor
\n" ); document.write( "x = time in hrs
\n" ); document.write( "A = resulting amt
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\n" ); document.write( "Write an equation from the 1st statement, x = 2 hrs, find k
\n" ); document.write( "100 * k^2 = 4000
\n" ); document.write( "k^2 = \"4000%2F100\"
\n" ); document.write( "k^2 = 40
\n" ); document.write( "k = \"sqrt%2840%29\"
\n" ); document.write( "k = 6.3246
\n" ); document.write( ":
\n" ); document.write( "The equation
\n" ); document.write( "y = 100(6.3246^x)
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