After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per deciliter). If the amount of alcohol in the blood decays exponentially, and after 2 hours, 112.5 mg/dL remain, find an exponential model for the person's blood alcohol level f(t) where t is the time in hours. Use your model to estimate the person's blood alcohol level after 4 hours. I believe I am supposed to use f(t)=Ab^t but I'm not sure where to go from there

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 62SE: A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35...
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After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per deciliter). If the amount of alcohol in the blood decays exponentially, and after 2 hours, 112.5 mg/dL remain, find an exponential model for the person's blood alcohol level f(t) where t is the time in hours.

Use your model to estimate the person's blood alcohol level after 4 hours.

I believe I am supposed to use f(t)=Ab^t but I'm not sure where to go from there

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