Assume the change is exponential and complete the table below. Radioactive iodine is used to determine the health of the thyroid gland. Radioactive iodine decays (or decreases) on a daily basis. Find the missing values in the table. Round to the nearest tenth as needed. Days Radioactive lodine Mcl 100 91.7 2 84.1 3 5
Assume the change is exponential and complete the table below. Radioactive iodine is used to determine the health of the thyroid gland. Radioactive iodine decays (or decreases) on a daily basis. Find the missing values in the table. Round to the nearest tenth as needed. Days Radioactive lodine Mcl 100 91.7 2 84.1 3 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Title: Exponential Decay of Radioactive Iodine**
**Introduction:**
Radioactive iodine is frequently used in medical assessments to determine the health of the thyroid gland. It undergoes decay, which is a decrease in quantity over time. This decay occurs exponentially, meaning the amount of iodine decreases by a consistent percentage each day.
**Instructions:**
Assume the change is exponential and use the given data to complete the table. Round your answers to the nearest tenth if necessary.
**Table:**
| Days | Radioactive Iodine Mcl |
|------|------------------------|
| 0 | 100 |
| 1 | 91.7 |
| 2 | 84.1 |
| 3 | [ ] |
| 4 | [ ] |
| 5 | [ ] |
**Explanation:**
The table tracks the amount of radioactive iodine over a period of five days. On day 0, the initial quantity is 100 microcuries (MCl). Over the next couple of days, the amount of radioactive iodine decreases: on day 1, it is 91.7 MCl, and on day 2, it is 84.1 MCl.
Your task is to calculate the remaining values for days 3, 4, and 5 based on the pattern of exponential decay shown in the first two days. Use the common ratio derived from the given amounts to fill in the missing values.
**Note:**
Exponential decay can be calculated using the formula:
\[ \text{Next Value} = \text{Current Value} \times (\text{Decay Rate}) \]
Where the Decay Rate can be found using the given values for days 0, 1, and 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a490636-7c9e-4657-831f-9625855b6851%2F6fee8895-9e42-4144-aa4e-3b37f524cb96%2Fcr6yysp_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Exponential Decay of Radioactive Iodine**
**Introduction:**
Radioactive iodine is frequently used in medical assessments to determine the health of the thyroid gland. It undergoes decay, which is a decrease in quantity over time. This decay occurs exponentially, meaning the amount of iodine decreases by a consistent percentage each day.
**Instructions:**
Assume the change is exponential and use the given data to complete the table. Round your answers to the nearest tenth if necessary.
**Table:**
| Days | Radioactive Iodine Mcl |
|------|------------------------|
| 0 | 100 |
| 1 | 91.7 |
| 2 | 84.1 |
| 3 | [ ] |
| 4 | [ ] |
| 5 | [ ] |
**Explanation:**
The table tracks the amount of radioactive iodine over a period of five days. On day 0, the initial quantity is 100 microcuries (MCl). Over the next couple of days, the amount of radioactive iodine decreases: on day 1, it is 91.7 MCl, and on day 2, it is 84.1 MCl.
Your task is to calculate the remaining values for days 3, 4, and 5 based on the pattern of exponential decay shown in the first two days. Use the common ratio derived from the given amounts to fill in the missing values.
**Note:**
Exponential decay can be calculated using the formula:
\[ \text{Next Value} = \text{Current Value} \times (\text{Decay Rate}) \]
Where the Decay Rate can be found using the given values for days 0, 1, and 2.
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