document.write( "Question 1107574: Public health records indicate that 't' weeks after the outbreak of a certain form of influenza, the number of people who had caught the disease was given by\r
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document.write( "Q (t) = 19/(4 + 20e^(−1.5t)) \r
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document.write( "Where Q (t) is given in thousands of people. \r
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document.write( "If the trend continues, approximately how many people will eventually contract the disease? Round your answer to the nearest person. \n" );
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Algebra.Com's Answer #722578 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "As in any logistic function, as time continues to pass (as t goes to infinity), the exponential with a negative exponent goes to zero. So the limit as time goes to infinity of this logistic function is 19/4. \n" ); document.write( "Since the formula gives the number of thousands, the number of people who caught the disease is 19000/4 = 4750. \n" ); document.write( " |