The exponential function describing the quantity of caffeine remaining in a person's body, Q , t hours after that person drinks a Tall cup of coffee from Starbucks is Q(t) = 260 · (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 100 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
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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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 Tall cup of coffee from Starbucks is
Q(t) = 260 · (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
100 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 Tall cup of coffee from Starbucks is Q(t) = 260 · (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 100 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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