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Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let Q represent the initial quantity of pollutant in the lake. NOTE: Enter the exact answer. Quantity remaining =

Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let Q represent the initial quantity of pollutant in the lake. NOTE: Enter the exact answer. Quantity remaining =

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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rrent Attempt in Progress Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let Q represent the initial quantity of pollutant in the lake. NOTE: Enter the exact answer. Quantity remaining = = eTextbook and Media Save for Later Q Search MA C Attempts: 0 of 3 used myhp
Transcribed Image Text:rrent Attempt in Progress Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let Q represent the initial quantity of pollutant in the lake. NOTE: Enter the exact answer. Quantity remaining = = eTextbook and Media Save for Later Q Search MA C Attempts: 0 of 3 used myhp
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**Transcription for Educational Website** --- **Problem Statement:** Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let \( Q \) represent the initial quantity of pollutant in the lake. **NOTE:** Enter the exact answer. **Solution Box:** Quantity remaining = [ 0.8 ] ❌ --- **Explanation:** This problem requires writing an exponential decay expression to find the quantity of pollutant remaining in a lake. Given that 2% of the pollutant is removed each year: 1. **Decay Rate**: 2% - Decimal form: 0.02 2. **Annual Retention Rate**: 98% - Decimal form: 0.98 3. **Number of Years**: 11 **Expression:** Let \( Q \) be the initial quantity of pollutant. The expression for the quantity remaining after 11 years is given by: \[ \text{Quantity remaining} = Q \times (0.98)^{11} \] The incorrect answer of 0.8 was provided, indicating a common error in calculations. Be sure your calculations reflect the correct understanding of exponential decay.
Transcribed Image Text:**Transcription for Educational Website** --- **Problem Statement:** Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let \( Q \) represent the initial quantity of pollutant in the lake. **NOTE:** Enter the exact answer. **Solution Box:** Quantity remaining = [ 0.8 ] ❌ --- **Explanation:** This problem requires writing an exponential decay expression to find the quantity of pollutant remaining in a lake. Given that 2% of the pollutant is removed each year: 1. **Decay Rate**: 2% - Decimal form: 0.02 2. **Annual Retention Rate**: 98% - Decimal form: 0.98 3. **Number of Years**: 11 **Expression:** Let \( Q \) be the initial quantity of pollutant. The expression for the quantity remaining after 11 years is given by: \[ \text{Quantity remaining} = Q \times (0.98)^{11} \] The incorrect answer of 0.8 was provided, indicating a common error in calculations. Be sure your calculations reflect the correct understanding of exponential decay.
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