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Lesson: 7.2 Exponential Models
SYDNEY GERBER
Question 9 of 11, Step 1 of 1
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1
The population of a certain inner-city area is estimated to be declining according to the model $P (t) = 210, 000 e^{- 0.015 t}$ , where $t$ is the number of years from the present. What does this model predict the population will be in 3 years? Round to the nearest person.

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Since we are asked to round to the nearest person, the final predicted population in 3 years is $200759$ .

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Step 1 ：The population of a certain inner-city area is estimated to be declining according to the model $P (t) = 210, 000 e^{- 0.015 t}$ , where $t$ is the number of years from the present. We are asked to predict the population in 3 years.

Step 2 ：We substitute $t = 3$ into the model. This gives us $P (3) = 210, 000 e^{- 0.015 \times 3}$ .

Step 3 ：We calculate the value of $P (3)$ to find the predicted population in 3 years. This gives us a population of approximately 200759.

Step 4 ：Since we are asked to round to the nearest person, the final predicted population in 3 years is $200759$ .

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