BAC is usually determined by a breathalyzer, urinalysis, or blood test. However, Swedish physician, E.M.P. Widmark developed the following equation for estimating an individual's BAC. This formula is widely used by scientists: $$ { } ^ { 2 } $$ $$ B = - 0.015 t + \frac { 2.84 N } { W g } $$ , where $$ B = $$ percentage of BAC$$N = $$ number of "standard drinks" (A standard drink is one $$ 12 $$ -ounce beer, one $$ 5 $$ - ounce glass of wine, or one $$ 1.5 $$ -ounce shot of liquor.) $$ N $$ should be at least $$ 1 $$ . $$ W = $$ weight in pounds $$ g = $$ gender constant, $$ 0.68 $$ for men and $$ 0.55 $$ for women $$ t = $$ number of hours since the first drink A male student has a BAC of $$ 0.06 \% $$ . He weighs $$ 176 $$ pounds and has had $$ 7 $$ drinks. How long has it been since his first drink? Use the Widmark equation. Round to the nearest TENTH of an hour. Answer = hours (Round to the nearest tenth of an hour)

Question

BAC is usually determined by a breathalyzer, urinalysis, or blood test. However, Swedish physician, E.M.P. Widmark developed the following equation for estimating an individual's BAC. This formula is widely used by scientists: $$ { } ^ { 2 } $$ $$ B = - 0.015 t + \frac { 2.84 N } { W g } $$ , where $$ B = $$ percentage of BAC$$N = $$ number of "standard drinks" (A standard drink is one $$ 12 $$ -ounce beer, one $$ 5 $$ - ounce glass of wine, or one $$ 1.5 $$ -ounce shot of liquor.) $$ N $$ should be at least $$ 1 $$ . $$ W = $$ weight in pounds $$ g = $$ gender constant, $$ 0.68 $$ for men and $$ 0.55 $$ for women $$ t = $$ number of hours since the first drink A male student has a BAC of $$ 0.06 \% $$ . He weighs $$ 176 $$ pounds and has had $$ 7 $$ drinks. How long has it been since his first drink? Use the Widmark equation. Round to the nearest TENTH of an hour. Answer = hours (Round to the nearest tenth of an hour)

Grant Hanson · Accepted Answer

0.0006=-0.015×t+$$\frac{2.84	imes7 }{176	imes 0.68}$$t=11

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