Suppose you have just taken a 64 milligram dose of vitamin C. Write an exponential function modeling the amount of vitamin C given that the biological half-life of vitamin C in the human body is about 17 days. a) Write your function using either the continuous growth model f(t) = ae*t or the half-life model 1t/c f(t) = 17 f(t) = %3D 64 Use t as your variable and keep at least 4 significant figures on the growth rate. b) According to your function, how much vitamin C will be left after 2 days? f(2) = 59 Round to the nearest whole number. c) How long will it take for the vitamin C level to drop to 17 miligrams? days Round to the nearest whole number. Question Help: Video 1 Video 2 D Post to forum Submit Question v Question 3 1/1 pt 5 1 99 Details DO 1/2
Suppose you have just taken a 64 milligram dose of vitamin C. Write an exponential function modeling the amount of vitamin C given that the biological half-life of vitamin C in the human body is about 17 days. a) Write your function using either the continuous growth model f(t) = ae*t or the half-life model 1t/c f(t) = 17 f(t) = %3D 64 Use t as your variable and keep at least 4 significant figures on the growth rate. b) According to your function, how much vitamin C will be left after 2 days? f(2) = 59 Round to the nearest whole number. c) How long will it take for the vitamin C level to drop to 17 miligrams? days Round to the nearest whole number. Question Help: Video 1 Video 2 D Post to forum Submit Question v Question 3 1/1 pt 5 1 99 Details DO 1/2
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Transcribed Image Text:Suppose you have just taken a 64 milligram dose of vitamin C. Write an exponential function modeling the
amount of vitamin C given that the biological half-life of vitamin C in the human body is about 17 days.
a) Write your function using either the continuous growth model f(t) = ae*t or the half-life model
f(t)
= a
f(t) :
64
Use t as your variable and keep at least 4 significant figures on the growth rate.
b) According to your function, how much vitamin C will be left after 2 days?
f(2)
59
Round to the nearest whole number.
c) How long will it take for the vitamin C level to drop to 17 miligrams?
t =
days
Round to the nearest whole number.
Question Help: DVideo 1 D Video 2 D Post to forum
Submit Question
C1/1 pt 5 1 99 Details
v Question 3
DO
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