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 a

Question

3 years ago

7

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 a

fter 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?

Mathematics

1 answer:

kirill [66] · Answer 1 · 2022-03-13T22:29:29+03:00

kirill [66]3 years ago

6 0

Answer:

Yes. 3.24 Units >1.5 Units

Step-by-step 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.