5. The amount Q(t) measured in milligrams of a prescription medica t hours after ingestion is modeled by the equation: Q(t) = 500(.75)* a. What is the rate of decay for this medication? -You body

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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5. The amount Q(t) measured in milligrams of a prescription medication that remains in the body
t hours after ingestion is modeled by the equation:
Q(t) = 500(.75)*
a. What is the rate of decay for this medication?
-1/2
75·100=75%
b. How much of the medication is left after 6 hours? Round to the nearest thousandth.
QA) = 500 (175) 1
24 = 88.989 remains
c. A second dose can be administered when there is only 80 milligrams remaining. When does
this happen? Round to the nearest tenth.
80 = 500 (75)
500 500 500
+=116₁4 hrs.
log (1715)
Transcribed Image Text:5. The amount Q(t) measured in milligrams of a prescription medication that remains in the body t hours after ingestion is modeled by the equation: Q(t) = 500(.75)* a. What is the rate of decay for this medication? -1/2 75·100=75% b. How much of the medication is left after 6 hours? Round to the nearest thousandth. QA) = 500 (175) 1 24 = 88.989 remains c. A second dose can be administered when there is only 80 milligrams remaining. When does this happen? Round to the nearest tenth. 80 = 500 (75) 500 500 500 +=116₁4 hrs. log (1715)
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