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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 3BGP
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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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