document.write( "Question 290248: The population of mice in a particular area is growing exponentially. on January 1, there were 5o mice, and by June 1, there were 200 mice, write an exponential function of the form y = ab^x that could be used to model the mouse population y of the area.write the function in terms of x, the number of months since January. \n" ); document.write( "
Algebra.Com's Answer #210024 by stanbon(75887)\"\" \"About 
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The population of mice in a particular area is growing exponentially. on January 1, there were 5o mice, and by June 1, there were 200 mice, write an exponential function of the form y = ab^x that could be used to model the mouse population y of the area.write the function in terms of x, the number of months since January.
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\n" ); document.write( "You have two points: (0,50) and (5,200)
\n" ); document.write( "y = ab^x
\n" ); document.write( "Using (0,50) you get 50 = ab^(0)
\n" ); document.write( "So, a = 50
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\n" ); document.write( "Using (5,200) you get 200 = 50b^5
\n" ); document.write( "b^5 = 4
\n" ); document.write( "b = 4^(1/5)
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\n" ); document.write( "Equation:
\n" ); document.write( "y = 50*4^(t/5)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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