A.
The exponential model is,
= 650 (0.46)x
Initial amount in the blood is at x = 0
= 650 (0.46)0
= 650 mg
B.
When amount of acetaminophen is below 100 mg
< 100
650 (0.46)x < 100
(0.46)x < (100/650)
(0.46)x < 0.1538
Taking log,
x log(0.46) < log(0.1538)
-0.7765 x < -1.872
0.7765 x > 1.872
=> x > 1.872/ 0.7765
=> x > 2.41
Thus, by the exponential model, the amount of acetaminophen is below 100 mg after 2.41 hours
(c)
At x = 3.5
Predicted acetaminophen, = 650 (0.46)3.5
= 42.91 mg
(d)
The value of b in the exponential curve is 0.46
Since the value of b is less than 1, the model is an exponential decay (as the acetaminophen in the bloodstream decays with time x)
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