SOLUTION: . A city population of 170,000 grows continuously according to the model P = 170000e0.0285t where P is the population t years after the year 2000. In what year does the population

Your exponential formula for the population growth is


    P(t) = .


Based on the condition, you write the equation for t as you read your text


    250000 = .


Next, you divide both sides by 170000


     = ,    or


    1.470 = .


Now, you take natural logarithm of both sides


    ln(1.470) = 0.0285*t


which gives you an expression for time "t"


    t = 


Next you use your calculator and get


    t = 13.518  years   (rouned)      ANSWER


ANSWER.  13 years and  189 days.