Question

LaTeX: A(x) = -0.015x^3+1.05xA ( x ) = − 0.015 x 3 + 1.05 x gives the alcohol level in an average person's blood LaTeX: xx hrs after drinking 8 oz of 100-proof whiskey. If the level exceeds 1.5 units, a person is legally drunk. Would an average person be legally drunk after 4 hours?

Answer 1

Yes. 3.24 Units >1.5 Units

Explanation:

The alcohol level in an average person's blood x hrs after drinking 8 oz of 100-proof whiskey is given by the function:

`A(x) = -0.015x^3+1.05x`

After 4 hours, when x=4

`A(4) = -0.015(4)^3+1.05(4)=3.24\:Units`

Since 3.24>1.5, an average person would be legally drunk after 4 hours.