a) The formula for determining BAC is expressed as
B = - 0.015t + 2.84N/Wg
Where
g = gender constant = 0.68
n = number of drinks = 5
W = weight = 180 lbs
t = time = 5 hours
BAC = - 0.015 * 5 + 2.84 * 5/180 *0.68
BAC = - 0.075 + 14.2/122.4
BAC = - 0.075 + 0.116
BAC = 0.041
b) Given that BAC = 0, W = 180, N = 5, then
0 = - 0.015 * t + 2.84 * 5/180 *0.68
0 = - 0.015t + 14.2/122.4
0 = - 0.015t + 0.116
0.015t = 0.116
t = 0.116/0.015
t = 7.73
= 9.7 hours
It will take 7.7 hours