Tutorial Exercise Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount remains after 370 years? Step 1 Let y represent the amount of radioactive radium. Recall the exponential decay model which states that, if C is the initial value then, y = C. c ekt, where k is the proportionality constant and t is the time. Step 2 Find the initial amount of the radioactive radium, that is, find the amount whent = 0. y = k0 Ce C( 370 So, the initial amount of radioactive radium is units. Submit || Skip (you cannot come back)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount remains after
370 years?
Step 1
Let y represent the amount of radioactive radium. Recall the exponential decay model which states that, if C is
the initial value then, y = CV
ekt, where k is the proportionality constant and t is the time.
Step 2
Find the initial amount of the radioactive radium, that is, find the amount when t = 0.
y =
Ce
cr370
So, the initial amount of radioactive radium is
units.
Submit
Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount remains after 370 years? Step 1 Let y represent the amount of radioactive radium. Recall the exponential decay model which states that, if C is the initial value then, y = CV ekt, where k is the proportionality constant and t is the time. Step 2 Find the initial amount of the radioactive radium, that is, find the amount when t = 0. y = Ce cr370 So, the initial amount of radioactive radium is units. Submit Skip (you cannot come back)
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