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If linear, find and interpret the rate of change. If exponential, find and interpret the percent change. Approximate if needed. The graph shows the amount of medicine remaining after a certain number of hours. Medicine Remaining in mg vs Time in hours 200 175 E 150 125 100 75 50 25 Time in hours 3. 2. Medicine Remaining in mg

If linear, find and interpret the rate of change. If exponential, find and interpret the percent change. Approximate if needed. The graph shows the amount of medicine remaining after a certain number of hours. Medicine Remaining in mg vs Time in hours 200 175 E 150 125 100 75 50 25 Time in hours 3. 2. Medicine Remaining in mg

MATLAB: An Introduction with Applications
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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If linear, find and interpret the rate of change. If exponential, find and interpret the percent change. Approximate if needed. The graph shows the amount of medicine remaining after a certain number of hours. ### Explanation of Graph **Title:** Medicine Remaining in mg vs Time in hours - **X-axis:** Represents the time in hours (from 0 to 3 hours). - **Y-axis:** Represents the medicine remaining in milligrams (mg), ranging from 0 to 200 mg. **Graph Description:** - The graph is a curve descending from left to right, indicating that the amount of medicine decreases over time. - Starting at the top left, the medicine amount is 200 mg at 0 hours. - At approximately 1 hour, the amount is around 125 mg. - At around 2 hours, the amount drops to about 65 mg. - Finally, at approximately 3 hours, the medicine remaining is about 30 mg. ### Analysis Since the graph is not a straight line, it indicates an exponential decay in the amount of medicine over time. To interpret the percent change, approximate the rate at which the medicine decreases between these time points: 1. From 0 to 1 hour: Decrease from 200 mg to 125 mg. 2. From 1 to 2 hours: Decrease from 125 mg to 65 mg. 3. From 2 to 3 hours: Decrease from 65 mg to 30 mg. For exponential decay, a consistent percentage reduction is applied over equal time intervals. This results in a gradual decrease, consistent with the rates observed at each interval.
Transcribed Image Text:If linear, find and interpret the rate of change. If exponential, find and interpret the percent change. Approximate if needed. The graph shows the amount of medicine remaining after a certain number of hours. ### Explanation of Graph **Title:** Medicine Remaining in mg vs Time in hours - **X-axis:** Represents the time in hours (from 0 to 3 hours). - **Y-axis:** Represents the medicine remaining in milligrams (mg), ranging from 0 to 200 mg. **Graph Description:** - The graph is a curve descending from left to right, indicating that the amount of medicine decreases over time. - Starting at the top left, the medicine amount is 200 mg at 0 hours. - At approximately 1 hour, the amount is around 125 mg. - At around 2 hours, the amount drops to about 65 mg. - Finally, at approximately 3 hours, the medicine remaining is about 30 mg. ### Analysis Since the graph is not a straight line, it indicates an exponential decay in the amount of medicine over time. To interpret the percent change, approximate the rate at which the medicine decreases between these time points: 1. From 0 to 1 hour: Decrease from 200 mg to 125 mg. 2. From 1 to 2 hours: Decrease from 125 mg to 65 mg. 3. From 2 to 3 hours: Decrease from 65 mg to 30 mg. For exponential decay, a consistent percentage reduction is applied over equal time intervals. This results in a gradual decrease, consistent with the rates observed at each interval.
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