Question

the relationship between the number of arrests per 100,000 drivers for driving under the influence of alcohol and the drivers age in a recent year can be represented by the graph to the right. complete parts a through d below.
a. what is the input variable in this situation? what is the output variable?
a. in this situation the input value is the number of drunk - driving arrests per 100,000 drivers and the output value is the age of driver.
b. in this situation the input value is the age of driver and the output value is the number of drunk - driving arrests per 100,000 drivers.
b. determine the age that corresponds to the greatest number of arrests.
the age group of 30 year - olds has the greatest number of arrests.
(type an integer or a decimal.)
estimate the number of arrests per 100,000 drivers for this age group.
this age group has arrests per 100,000 drivers.

Explanation:

Step1: Analyze the graph

The \(x -\)axis represents the age of the driver (input variable) and the \(y -\)axis represents the number of arrests per 100,000 drivers (output variable).

Step2: Locate the maximum point

Looking at the graph, the highest point (peak) occurs at \(x = 25\) (age of driver) and \(y\approx362.3\) (number of arrests per 100,000 drivers).

Answer:

a. B. In this situation the input value is the age of driver and the output value is the number of drunk - driving arrests per 100,000 drivers.
b. The age group of \(25\) year - olds has the greatest number of arrests. This age group has \(362.3\) arrests per 100,000 drivers.