1. An exponential growth or decay model is given. Determine whether the model re
ID: 3114515 • Letter: 1
Question
1. An exponential growth or decay model is given.
Determine whether the model represents growth or decay
Find the growth or decay factor
Find the growth or decay rate.
a. F(x)= 50(1.2)x
b. Y=(1/3)x
c. N(x)= 39.(2.8)x
d. H(T)= (0.15)T
e. M(t)= 3.5(0.7)t
2. A patient is administered 250 mg of a therapeutic drug. It is known that 40% of the drug is expelled from the body each hour.
Find an exponential decay model for the amount of drug remaining in the patient’s body after t hours.
Use the model to predict the amount of the drug that remains in the patient’s body after 10 hours.
Explanation / Answer
1.
(a) F(x) = 50(1.2)x
F(x) = 60x
F'(x) = 60
It is positive, hence it represents growth.
Growth factor = 60
(b) Y = (1/3)x
Y' = 1/3
Same as above it is growth.
Growth factor = 1/3
Same as you can do other parts.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.