Explanation Given: The current number of students is 984, Decreasing rate per year is 7% and number of years is 5. Concept Used: Exponential Decay: A quantity that decays by the same percent at regular time periods is said to have exponential decay. There are many real − life examples of exponential decay, such as population, bacteria, viruses, and radioactive substances, just to name a few. Modelling Exponential Decay: Exponential Decay: y = C ( 1 − r ) x C − Initial amount; x − numbers of time intervals, (1 − r) is growth factor; r is decay rate (often a percent) Calculation: Modelling Exponential Decay: Exponential Decay: y = C ( 1 − r ) x C − Initial amount; x − numbers of time intervals, (1 − r) is growth factor; r is decay rate (often a percent) Here: C = 984; r = 7% and x = 5 y = C ( 1 − r ) x C = 984 ; r

2nd Edition

ISBN: 9780135257500

Author: Martin-Gay

Publisher: PEARSON

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Chapter 19.4, Problem 16ES

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Find the number of students in 5 years.

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Ch. 19.1 - Prob. 1VRVC Ch. 19.1 - Prob. 2VRVC Ch. 19.1 - Prob. 3VRVC Ch. 19.1 - Prob. 4VRVC Ch. 19.1 - Prob. 5VRVC Ch. 19.1 - Prob. 6VRVC Ch. 19.1 - Prob. 1ES Ch. 19.1 - Prob. 2ES Ch. 19.1 - Prob. 3ES Ch. 19.1 - Prob. 4ES

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Find the number of students in 5 years.

Solution Summary: The author explains that exponential decay is a quantity that decays by the same percent at regular time periods.

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