Assume that Laguna Lake has a volume of 480km^3 and that its rate of inflow (from Lake Huron) and outflow (to Lake Ontario) are both 350km^3 per year. Suppose that at time t = 0 (years), the pollutant concentration of Laguna Lake - caused by past industrial pollution that has now been ordered to cease - is five times that of Pasig Lake. If the outflow henceforth is perfectly mixed lake water, how long will it take to reduce the pollution concentration in Laguna Lake to twice that of Pasig Lake?

Assume that Laguna Lake has a volume of 480km^3 and that its rate of inflow (from Lake Huron) and outflow (to Lake Ontario) are both 350km^3 per year. Suppose that at time t = 0 (years), the pollutant concentration of Laguna Lake - caused by past industrial pollution that has now been ordered to cease - is five times that of Pasig Lake. If the outflow henceforth is perfectly mixed lake water, how long will it take to reduce the pollution concentration in Laguna Lake to twice that of Pasig Lake?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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