$A ( x ) = - 0.015 x ^ { 3 } + 1.05 x$ gives the alcohol level in an average person's blood $x$ hrs after drinking 8 oz of 100 - proof whiskey. If the level exceeds $1.5$ units, a person is legally drunk. Would a person be drunk after 3 hours?

Question

Quizplus · Accepted Answer

The alcohol level after 3 hours is $A(3) = -0.015(3)^3 + 1.05(3) = 1.635$ units, which exceeds 1.5 units.

A(x)=−0.015x3+1.05xA ( x ) = - 0.015 x ^ { 3 } + 1.05 xA(x)=−0.015x3+1.05x

$A ( x ) = - 0.015 x ^ { 3 } + 1.05 x$