The Widmark formula,t developed in 1932, is used to model the blood alcohol content B at a time t hours after consuming alcohol 5.14A rW B = -0.015t. Here B is the blood alcohol content, W is the weight in pounds, A is the liquid ounces of alcohol consumed, and r is a factor determined by gender (0.73 for men and 0.66 for women). Consider the blood alcohol content of a 180-pound man after consuming five 12-ounce cans of beer. (a) The beer consumed is 6% alcohol. How many ounces of alcohol were consumed? 4.32 xoz (b) Write a formula that gives the blood alcohol content for this man t hours after consuming the alcohol. (Round your coefficients to three decimal places.) B= 0.169 -0.015t x (c) In most states, driving with a blood alcohol content of 0.08 or higher may result in arrest and severe penalties. During which time period is it unlawful for this man to drive? (Rounc to two decimal places.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Widmark formula,t developed in 1932, is used to model the blood alcohol content B at a time t hours after consuming alcohol.
5.14A
rW
B =
-0.015t.
Here B is the blood alcohol content, W is the weight in pounds, A is the liquid ounces of alcohol consumed, and r is a factor determined by gender (0.73 for men and 0.66 for women).
Consider the blood alcohol content of a 180-pound man after consuming five 12-ounce cans of beer.
(a) The beer consumed is 6% alcohol. How many ounces of alcohol were consumed?
4.32
Xoz
(b) Write a formula that gives the blood alcohol content for this man t hours after consuming the alcohol. (Round your coefficients to three decimal places.)
B= 0.169 -0.015t
Need Help?
(c) In most states, driving with a blood alcohol content of 0.08 or higher may result in arrest and severe penalties. During which time period is it unlawful for this man to drive? (Round your answer
to two decimal places.)
It is unlawful for the man to drive for 5.93
X
Read It
X hours after consuming the alcohol.
Transcribed Image Text:The Widmark formula,t developed in 1932, is used to model the blood alcohol content B at a time t hours after consuming alcohol. 5.14A rW B = -0.015t. Here B is the blood alcohol content, W is the weight in pounds, A is the liquid ounces of alcohol consumed, and r is a factor determined by gender (0.73 for men and 0.66 for women). Consider the blood alcohol content of a 180-pound man after consuming five 12-ounce cans of beer. (a) The beer consumed is 6% alcohol. How many ounces of alcohol were consumed? 4.32 Xoz (b) Write a formula that gives the blood alcohol content for this man t hours after consuming the alcohol. (Round your coefficients to three decimal places.) B= 0.169 -0.015t Need Help? (c) In most states, driving with a blood alcohol content of 0.08 or higher may result in arrest and severe penalties. During which time period is it unlawful for this man to drive? (Round your answer to two decimal places.) It is unlawful for the man to drive for 5.93 X Read It X hours after consuming the alcohol.
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