A lab sample decays exponentially in such away that the amount of the sample in grams t hours after it was unpacked is modeled by s ( t ) = 200 ( .74 ) t. How much of the sample will be left 10 hours after it was unpacked? Give your answer as a decimal accurate to two places.
A lab sample decays exponentially in such away that the amount of the sample in grams t hours after it was unpacked is modeled by s ( t ) = 200 ( .74 ) t. How much of the sample will be left 10 hours after it was unpacked? Give your answer as a decimal accurate to two places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A lab sample decays exponentially in such away that the amount of the sample in grams t hours after it was unpacked is modeled by s ( t ) = 200 ( .74 ) t. How much of the sample will be left 10 hours after it was unpacked? Give your answer as a decimal accurate to two places.
Expert Solution
Step 1
Here, sample decay function is
which means that initially sample was 200gm.
After 10 hours sample decay
Sample left after 10 hours =initial sample-sample decay
=200-9.847980
=190.1520
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