Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18 (¹8F). A patient is given a sample of this material containing 270 MBq of 18F (a megabecquerel is a unit of radioactivity). The patient then undergoes a PET scan (positron emission tomography) to detect areas of metabolic activity indicative of cancer. After 174 min, one-third of the original dose remains in the body. Part: 0/2 Part 1 of 2 -kt (a) Write a function of the form Q(t)=Qe to model the radioactivity level (t) of fluorine-18 at a time t minutes after the intial dose. Round the value of k to five decimal places. Do not round intermediate calculations. 2(t)= 09 X e 5

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Chapter10: Exponential And Logarithmic Functions
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Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18 (18F). A patient is given a sample of this material containing 270 MBq of
18 F
F (a megabecquerel is a unit of radioactivity). The patient then undergoes a PET scan (positron emission tomography) to detect areas of metabolic activity
indicative of cancer. After 174 min, one-third of the original dose remains in the body.
Part: 0 / 2
Part 1 of 2
-kt
(a) Write a function of the form Q(t)=Qe
to model the radioactivity level Q (t) of fluorine-18 at a time t minutes after the intial dose. Round the
value of k to five decimal places. Do not round intermediate calculations.
Q(t)=
79
X
e
S
Transcribed Image Text:4 Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18 (18F). A patient is given a sample of this material containing 270 MBq of 18 F F (a megabecquerel is a unit of radioactivity). The patient then undergoes a PET scan (positron emission tomography) to detect areas of metabolic activity indicative of cancer. After 174 min, one-third of the original dose remains in the body. Part: 0 / 2 Part 1 of 2 -kt (a) Write a function of the form Q(t)=Qe to model the radioactivity level Q (t) of fluorine-18 at a time t minutes after the intial dose. Round the value of k to five decimal places. Do not round intermediate calculations. Q(t)= 79 X e S
Part 2 of 2
18
(b) What is the half-life of F? Round to the nearest minute. Do not round intermediate calculations.
18
The half-life of F is approximately
min.
X
Transcribed Image Text:Part 2 of 2 18 (b) What is the half-life of F? Round to the nearest minute. Do not round intermediate calculations. 18 The half-life of F is approximately min. X
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