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A population of endangered salmon, S(t), starts out with 100 fish and decreases at a rate proportional to 0.02 times the number of fish present each year. A population of flounder, F(t), also starts out with a population of 100 fish and decreases at a rate proportional to 0.01 times the number of fish present each year. What is the equation which describes the difference between the number of salmon and flounder each year? Lett be measured in years. ○ S(t) - F(t) = 100e(-0.02)t ○ S(t) - F(t) = 100e(-0.02-0.01)t ○ S(t) - F(t) = e(-0.02)te(-0.01)t ○ S(t)- F(t) = = 100e(-0.01)t 100e(-0.01)t 100e(-0.02)t

A population of endangered salmon, S(t), starts out with 100 fish and decreases at a rate proportional to 0.02 times the number of fish present each year. A population of flounder, F(t), also starts out with a population of 100 fish and decreases at a rate proportional to 0.01 times the number of fish present each year. What is the equation which describes the difference between the number of salmon and flounder each year? Lett be measured in years. ○ S(t) - F(t) = 100e(-0.02)t ○ S(t) - F(t) = 100e(-0.02-0.01)t ○ S(t) - F(t) = e(-0.02)te(-0.01)t ○ S(t)- F(t) = = 100e(-0.01)t 100e(-0.01)t 100e(-0.02)t

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A population of endangered salmon, S(t), starts out with 100 fish and decreases at a rate proportional to 0.02 times the number of fish present each year. A population of flounder, F(t), also starts out with a population of 100 fish and decreases at a rate proportional to 0.01 times the number of fish present each year. What is the equation which describes the difference between the number of salmon and flounder each year? Let t be measured in years. ○ S(t) F(t) = 100e(-0.02)t – 100e(-0.01)t ○ S(t) F(t) = 100e(-0.02-0.01)t - ○ S(t) - F(t) = e(-0.02)t e(-0.01)t o S(t) F(t) = 100e(-0.01)t − 100e(-0.02)t
Transcribed Image Text:A population of endangered salmon, S(t), starts out with 100 fish and decreases at a rate proportional to 0.02 times the number of fish present each year. A population of flounder, F(t), also starts out with a population of 100 fish and decreases at a rate proportional to 0.01 times the number of fish present each year. What is the equation which describes the difference between the number of salmon and flounder each year? Let t be measured in years. ○ S(t) F(t) = 100e(-0.02)t – 100e(-0.01)t ○ S(t) F(t) = 100e(-0.02-0.01)t - ○ S(t) - F(t) = e(-0.02)t e(-0.01)t o S(t) F(t) = 100e(-0.01)t − 100e(-0.02)t
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