Question

The rational function f(x) models the number of arrests per 100,000 drivers for driving under the influence of alcohol as a function of a driver's age, x. What does f(x) represent in this context?

A) The total number of arrests for all age groups.
B) The number of drivers per 100,000 who are under the influence of alcohol.
C) The average age of drivers arrested for DUI.
D) The rate of arrests for DUI per 100,000 drivers of a specific age.

Answer 1

The function f(x) signifies the rate of DUI arrests per 100,000 drivers for a given age.

Step-by-step explanation:

The function f(x) in this context represents the rate of arrests for DUI per 100,000 drivers of a specific age, which corresponds to option D. It is a rational function that provides information on how the number of DUI arrests varies with the driver's age. The function does not provide total numbers, the number of drivers under the influence, or an average age of arrested drivers; rather, it focuses on the relationship between a specific age and the associated DUI arrest rate.