The amount of iodine 131 remaining in a sample that originally contained A grams is approximately C(t) = A(0.9175) where t is time in days. (a) Find, to the nearest whole number, the percentage of iodine 131 left in an originally pure sample after 2 days, 4 days, and 6 days. 2 days % 4 days % 6 days % (b) Use a graph to estimate, to the nearest day, when one half of a sample of 100 grams will have decayed. days
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
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Profit and Loss
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Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![**Exponential Decay of Iodine 131**
The amount of iodine 131 remaining in a sample that originally contained \( A \) grams is approximately described by the equation:
\[ C(t) = A(0.9175)^t \]
where \( t \) is the time in days.
**Tasks:**
(a) Calculate the remaining percentage of iodine 131 in an originally pure sample after 2 days, 4 days, and 6 days. Round your answers to the nearest whole number.
- 2 days: [ ] %
- 4 days: [ ] %
- 6 days: [ ] %
(b) Use a graph to estimate, to the nearest day, when half of a 100-gram sample will have decayed.
- [ ] days
(Note: For (b), it is suggested to plot the decay equation and find the time when the sample reaches 50 grams to determine when half remains.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d890e9c-fe88-4cd1-bfab-a11ce990423c%2F18211d12-53c4-48e2-8f87-ab7e1c769096%2Fon60wu_processed.png&w=3840&q=75)
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