The polluted water from Pond 1 drains into Pond 2 at 8 gallons per minute. Pond 1 initially contains 200 gallons of water and 40 Ib of pollutant, whereas Pond 2 initially contains 400 gallons of water and 80 lb of pollutant. Clean water enters Pond 1 at 8 gallons per minute, whereas the water from Pond 2 drains to the ground at 1 gallons per minute. Write an initial value problem that models the rates of change of pollutants in Lake A and in Lake B with time. Do not solve.

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 polluted water from Pond 1 drains into Pond 2 at 8 gallons per minute. Pond 1 initially
contains 200 gallons of water and 40 lb of pollutant, whereas Pond 2 initially contains 400
gallons of water and 80 lb of pollutant. Clean water enters Pond 1 at 8 gallons per minute,
whereas the water from Pond 2 drains to the ground at 1 gallons per minute. Write an initial
value problem that models the rates of change of pollutants in Lake A and in Lake B with time.
Do not solve.
Transcribed Image Text:The polluted water from Pond 1 drains into Pond 2 at 8 gallons per minute. Pond 1 initially contains 200 gallons of water and 40 lb of pollutant, whereas Pond 2 initially contains 400 gallons of water and 80 lb of pollutant. Clean water enters Pond 1 at 8 gallons per minute, whereas the water from Pond 2 drains to the ground at 1 gallons per minute. Write an initial value problem that models the rates of change of pollutants in Lake A and in Lake B with time. Do not solve.
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