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put this solution on YOUR website!the percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by:
A(t)=.29te^-4t (0<=t<=12)
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(a) what is the percentage of alcohol in a person's bloodstream after 1/2 hour?
A(1/2) = 0.1962%
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7hrs?
A(7) = 1.4036 * 10^-12
= 0.0000000000014036%
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(b) How fast is the percentage of alcohol in a person's bloodstream changing after 1/2 hr? 7 hr?
@1/2
= -0.039%/hour
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@7
= (-5.414E-12)%/hour
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This equation is not valid, at 7 hours the rate of change per hour is greater than the remaining concentration by a factor of ~ 4.
