document.write( "Question 464633: The population of a city was 127 thousand in 1992. The exponential growth rate was 1.3% per year. Find the exponential growth function in terms of t, where t is the number of years since 1992. P(t)=? \n" ); document.write( "
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The population of a city was 127 thousand in 1992. The exponential growth rate was 1.3% per year. Find the exponential growth function in terms of t, where t is the number of years since 1992. P(t)=?
\n" ); document.write( "The general exponential growth/decay model is:
\n" ); document.write( "A = Pe^(rt)
\n" ); document.write( "where
\n" ); document.write( "A is the amount after time t
\n" ); document.write( "P is the initial amount
\n" ); document.write( "r is the rate of growth or decay
\n" ); document.write( "t is time
\n" ); document.write( ".
\n" ); document.write( "Plugging in what was given by the problem:
\n" ); document.write( "P(t)= 127e^(.013t)
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