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The population of a certain species of fish has a relative growth rate of 1.6% per year. It is estimated that the population in 2010 was 11 million. (a) Find an exponential model n(t) = noet for the population (in millions) t years after 2010. n(t) = (b) Estimate the fish population in the year 2015. (Round your answer to three decimat places.) million fish (c) After how many years will the fish population reach 13 million? (Round your answer to one decimal place.) yr (d) Sketch a graph of the fish population.

The population of a certain species of fish has a relative growth rate of 1.6% per year. It is estimated that the population in 2010 was 11 million. (a) Find an exponential model n(t) = noet for the population (in millions) t years after 2010. n(t) = (b) Estimate the fish population in the year 2015. (Round your answer to three decimat places.) million fish (c) After how many years will the fish population reach 13 million? (Round your answer to one decimal place.) yr (d) Sketch a graph of the fish population.

College Algebra (MindTap Course List)
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 41E
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This exercise uses the population growth model. The population of a certain species of fish has a relative growth rate of 1.6% per year. It is estimated that the population in 2010 was 11 million. (a) Find an exponential model n(t) = noet for the population (in millions) t years after 2010. n(t) = (b) Estimate the fish population in the year 2015. (Round your answer to three decimat places.) million fish (c) After how many years will the fish population reach 13 million? (Round your answer to one decimal place.) yr (d) Sketch a graph of the fish population.
Transcribed Image Text:This exercise uses the population growth model. The population of a certain species of fish has a relative growth rate of 1.6% per year. It is estimated that the population in 2010 was 11 million. (a) Find an exponential model n(t) = noet for the population (in millions) t years after 2010. n(t) = (b) Estimate the fish population in the year 2015. (Round your answer to three decimat places.) million fish (c) After how many years will the fish population reach 13 million? (Round your answer to one decimal place.) yr (d) Sketch a graph of the fish population.
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