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
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-> 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
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Question 1178994: . 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 reach
250000?
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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 reach 250000?
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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) ANSWERANSWER. 13 years and 189 days.
