You would think that your blood alcohol content (BAC) would be directly proportional to how many beers you drink in an hour. Strangely enough, for both males and females of a specific weight, the BAC is directly proportional to the number (N − 1) of beers they drank during the last hour. (a) Write an equation of variation between BAC and the number of beers a man drank during the last hour. (Use k as the constant of variation.) BAC = k(N−1) (b) For a 150-lb average man, his BAC after 3 beers is 0.046. Find k. (Round your answer to three decimal places.) k = (c) What is his BAC after 5 beers? (Round your answer to three decimal places.) (d) How many beers can the man drink before going over the 0.08 BAC limit? (Round your answer to the nearest whole number.) __________ beers

Question

You would think that your blood alcohol content (BAC) would be directly proportional to how many beers you drink in an hour. Strangely enough, for both males and females of a specific weight, the BAC is directly proportional to the number (N − 1) of beers they drank during the last hour.

(a) Write an equation of variation between BAC and the number of beers a man drank during the last hour. (Use k as the constant of variation.)
BAC = k(N−1)

(b) For a 150-lb average man, his BAC after 3 beers is 0.046. Find k. (Round your answer to three decimal places.)
k =

(c) What is his BAC after 5 beers? (Round your answer to three decimal places.)

(d) How many beers can the man drink before going over the 0.08 BAC limit? (Round your answer to the nearest whole number.)
__________ beers