How does the reasonable domain differ from the
mathematical domain?
The reasonable domain is the set of natural numbers.
O
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.
O

When we talk about a reasonable domain for a function, we refer to all values inside the domain set that makes sense to the problem which models the function. For example, if the function models people's age, then the reasonable domain must be all positive integers.

In this case, we have the function

[tex]f(x)=3.25x[/tex]

Where [tex]x[/tex] represents the number of cars.

The mathematical domain refers to the comple domain set, using negative and positive numbers. However, the mathematical domain doesn't make sense to this problem, because the domain represents cars, and they cannot be represented by negative numbers and decimals.

So, the reasonable domain to this function is the set of all natural numbers, because they are positive and integers.

Therefore, the right answer is the first choice.