4. When a diabetic takes long-acting insulin, the insulin reaches its peak effect on the blood sugar level in about three hours. This effect remains fairly constant for 5 hours, then declines, and is very low until the next injection. In a typical patient, the level of insulin might be modeled by the following function. if 0sts3 if 3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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4. When a diabetic takes long-acting insulin, the insulin reaches its peak effect on the blood sugar level in about
three hours. This effect remains fairly constant for 5 hours, then declines, and is very low until the next
injection. In a typical patient, the level of insulin might be modeled by the following function.
40t+100
if 0st<3
220
if 3 <t<8
f(t)={
-80t +860 if 8 <t<10
[60
if 10<t<24
Here, f(t)represents the blood sugar level at time t hours after the time of the injection. If a patient takes
insulin at 6 am, find the blood sugar level at each of the following times.
a. 7 am
b. 11 am
с. 3 pm
d. 5 pm
Transcribed Image Text:4. When a diabetic takes long-acting insulin, the insulin reaches its peak effect on the blood sugar level in about three hours. This effect remains fairly constant for 5 hours, then declines, and is very low until the next injection. In a typical patient, the level of insulin might be modeled by the following function. 40t+100 if 0st<3 220 if 3 <t<8 f(t)={ -80t +860 if 8 <t<10 [60 if 10<t<24 Here, f(t)represents the blood sugar level at time t hours after the time of the injection. If a patient takes insulin at 6 am, find the blood sugar level at each of the following times. a. 7 am b. 11 am с. 3 pm d. 5 pm
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