First three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. In 2015, a population of elk was down to 3,542 animals after 5 years of exponential decrease. Part A: Use the exponential decay formula to find the initial population of elk if the population decreased at a rate of 8.4%. Part B: Write the equation that models the population of elk over time. Part C: How long will it take for the population to decrease from the initial population to 3,000 animals if the percentage decrease stays the same? Show your work solving and round your answer to the nearest tenth of a year.
First three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. In 2015, a population of elk was down to 3,542 animals after 5 years of exponential decrease. Part A: Use the exponential decay formula to find the initial population of elk if the population decreased at a rate of 8.4%. Part B: Write the equation that models the population of elk over time. Part C: How long will it take for the population to decrease from the initial population to 3,000 animals if the percentage decrease stays the same? Show your work solving and round your answer to the nearest tenth of a year.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 42E
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First three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response.
In 2015, a population of elk was down to 3,542 animals after 5 years of exponential decrease.
Part A: Use the exponential decay formula to find the initial population of elk if the population decreased at a rate of 8.4%.
Part B: Write the equation that models the population of elk over time.
Part C: How long will it take for the population to decrease from the initial population to 3,000 animals if the percentage decrease stays the same? Show your work solving and round your answer to the nearest tenth of a year.
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