The biomass B(t) of a fishery is the total mass of the members of the fish population at time t. It is the product of the number of individuals N(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t= 5 weeks the population is 823 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.3 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when t = 5? (Round your answer to one decimal place.) B'(5) = g/week

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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The biomass B(t) of a fishery is the total mass of the members of the fish
population at time t. It is the product of the number of individuals N(t) in the
population and the average mass M(t) of a fish at time t. In the case of guppies,
breeding occurs continually. Suppose that at time t= 5 weeks the population is
823 guppies and is growing at a rate of 50 guppies per week, while the average
mass is 1.3 g and is increasing at a rate of 0.14 g/week. At what rate is the
biomass increasing when t = 5? (Round your answer to one decimal place.)
B'(5) =
g/week
Transcribed Image Text:The biomass B(t) of a fishery is the total mass of the members of the fish population at time t. It is the product of the number of individuals N(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t= 5 weeks the population is 823 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.3 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when t = 5? (Round your answer to one decimal place.) B'(5) = g/week
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