13. 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 on the right.
401 +100
Osts3
220 3 f(t) =
-801 + 860 8 60
10 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
c. 3 pm
d. 5 pm