Question

The population of a certain inner-city area is estimated to be declining according to the model P(t)=580,000e−0.022t

, where t is the number of years from the present. What does this model predict the population will be in 5
years? Round to the nearest person.

Answer 1

The model predicts the population in 5 years to be approximately 519,100.

Step-by-step explanation:

The given model is represented by the equation P(t) = 580,000e^(-0.022t), where t is the number of years from the present. To find the predicted population in 5 years, we substitute t = 5 into the equation:

P(5) = 580,000e^(-0.022(5))

P(5) = 580,000e^(-0.11)

P(5) ≈ 580,000(0.895)

P(5) ≈ 519,100 (rounded to the nearest person)