The table below represents a pattern of exponential population growth/decay for radium in a sealed container. # weeks since the container was sealed (w) grams of radium (r) 1 200 128 81.92 Find the growth/decay factor Find the initial value. Find a function, f, that determines r grams of radium in terms of W weeks after the container was sealed. (Use a caret ^ to indicate any exponent(s) in your function.) How long will it take for the sample to reach an unusable state--that is less than 1 gram? Round your answer to the most logical full week. (Don't forget your units)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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The table below represents a pattern of exponential population growth/decay for
radium in a sealed container.
# weeks since the container was sealed
(w)
grams of radium (r)
1
200
128
81.92
Find the growth/decay factor
Find the initial value.
A
Find a function, f, that determines r grams of radium in terms of W weeks after the
container was sealed. (Use a caret ^ to indicate any exponent(s) in your function.)
How long will it take for the sample to reach an unusable state--that is less than 1
gram? Round your answer to the most logical full week. (Don't forget your units)
Transcribed Image Text:The table below represents a pattern of exponential population growth/decay for radium in a sealed container. # weeks since the container was sealed (w) grams of radium (r) 1 200 128 81.92 Find the growth/decay factor Find the initial value. A Find a function, f, that determines r grams of radium in terms of W weeks after the container was sealed. (Use a caret ^ to indicate any exponent(s) in your function.) How long will it take for the sample to reach an unusable state--that is less than 1 gram? Round your answer to the most logical full week. (Don't forget your units)
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