he graph shows the amount of a medicine m, in milligrams, remaining in a patients body h hours after receiving an injection. The amount of the medicine decreases exponentially.   1. By what factor did the medicine decrease in the first hour and a half? Explain how you know.  2. By what factor did the medicine decrease in the first half-hour?  What about in the first hour? Explain how you know.  3. Write an equation relating m, the number of milligram of the drug in the patient's body, and h, the number of hours since the injection.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The graph shows the amount of a medicine m, in milligrams, remaining in a patients body h hours after receiving an injection. The amount of the medicine decreases exponentially.

 

1. By what factor did the medicine decrease in the first hour and a half? Explain how you know. 

2. By what factor did the medicine decrease in the first half-hour?  What about in the first hour? Explain how you know. 

3. Write an equation relating m, the number of milligram of the drug in the patient's body, and h, the number of hours since the injection. 

A (0, 270)
250
200
150
100
(1.5, 80)
50
+
0.5
1
1.5
2
2.5
h (hours since injection)
m (mg of drug in body)
Transcribed Image Text:A (0, 270) 250 200 150 100 (1.5, 80) 50 + 0.5 1 1.5 2 2.5 h (hours since injection) m (mg of drug in body)
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