Question

The function f(x) = 3.25x represents the total amount collected from cars at one toll booth based on the number of cars that pass through, x. The mathematical domain for the function is the set of real numbers.
How does the reasonable domain differ from the mathematical domain?

The reasonable domain is the set of natural numbers.
The reasonable domain is the set of positive real numbers.
The reasonable domain is the set of real numbers greater than 3.25.
The reasonable domain is the set of whole numbers greater than 3.25.

Answer 1

Answer:

The reasonable domain is the set of natural numbers.

Step-by-step explanation:

The domain of a function is the group of numbers that are able to appear in the "x" variable. In this case x can go from - infinity to infinity if we're looking strictly by the math side, however the function represents a real world quantity and those can't go to such lengths. The function represents the number of cars collected in a booth, since they can't collect a fraction of a car, then there will be only integer numbers and they can't collect a negative car either, therefore there will be only natural numbers in the reasonable domain of this function.