The population of Germany in 2011 was approximately 85.5 million. The model P = 85.5e^(−0.00208)t represents a short-term model for the population, t years after 2011. a. Based on this model, is the population of Germany increasing or decreasing? b. Determine the number of years after 2011 at which the population of Germany would decrease to 80 million if this trend continues. Round to the nearest year.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
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The population of Germany in 2011 was approximately 85.5 million. The model P = 85.5e^(−0.00208)t represents a short-term model for the population, t years after 2011.

a. Based on this model, is the population of Germany increasing or decreasing?

b. Determine the number of years after 2011 at which the population of Germany would decrease to 80 million if this trend continues. Round to the nearest year.

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