document.write( "Question 457268: Page 548 # 1
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document.write( " Police use blood alcohol content (ABC) to measure the percent concentration of alcohol in a person’s bloodstream. In most states, a BAC of 0.08 percent means person is not allowed to drive. Each hour after drinking, a person’s ABC may decrease by 15%. If a person has BAC of 0.18, how many hours will he need to wait he can legally drive?
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Algebra.Com's Answer #313755 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In most states, a BAC of 0.08 percent means person is not allowed to drive. Each hour after drinking, a person’s ABC may decrease by 15%. If a person has BAC of 0.18, how many hours will he need to wait he can legally drive? \n" ); document.write( "-------------------- \n" ); document.write( "Start 0.18 \n" ); document.write( "After 1 hr: 0.18-0.15*0.18 = (1-0.15)0.18 = 0.85*0.18 \n" ); document.write( "After 2 hr: 0.85^2*0.18 \n" ); document.write( "etc. \n" ); document.write( "---- \n" ); document.write( "Solve: \n" ); document.write( "0.85^n(0.18) < 0.08 \n" ); document.write( "--- \n" ); document.write( "0.85^n < 0.08/0.18 = 0.4444 \n" ); document.write( "n > log(0.4444)/log(0.85) \n" ); document.write( "n > 4.9899 \n" ); document.write( "n >= 5 hrs. \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |