The exponential function describing the quantity of caffeine remaining in a person's body, Q ,t hours after that person drinks a Short cup of coffee from Starbucks is Q(t) = 180 · (0.8)* According to this equation, what is the hourly decay factor of caffeine? Use this function (and logarithms) to compute how long it takes (in hours) until the person only has 150 mg of caffeine left in their body. Enter an exact logarithmic expression (on the left) and a decimal rounded to the nearest thousandth (on the right).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
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The exponential function describing the quantity of caffeine remaining in a person's body, Q ,t
hours after that person drinks a Short cup of coffee from Starbucks is
Q(t) = 180 · (0.8)*
According to this equation, what is the hourly decay factor of caffeine?
Use this function (and logarithms) to compute how long it takes (in hours) until the person only has
150 mg of caffeine left in their body.
Enter an exact logarithmic expression (on the left) and a decimal rounded to the nearest thousandth
(on the right).
Transcribed Image Text:The exponential function describing the quantity of caffeine remaining in a person's body, Q ,t hours after that person drinks a Short cup of coffee from Starbucks is Q(t) = 180 · (0.8)* According to this equation, what is the hourly decay factor of caffeine? Use this function (and logarithms) to compute how long it takes (in hours) until the person only has 150 mg of caffeine left in their body. Enter an exact logarithmic expression (on the left) and a decimal rounded to the nearest thousandth (on the right).
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