The function f(x) = 16.4x + 2 is used by a construction company to estimate the amount of fuel necessary for a truck to get to a job site depending on the miles from the office, x. The mathematical domain for the function is the set of real numbers.
Answer
A
The reasonable domain is the set of positive real numbers.
B
The reasonable domain is the set of positive whole numbers.
C
The reasonable domain is the set of real numbers greater than 2.
D
The reasonable domain is the set of whole numbers greater than 2.
Explanation
The input x represents the distance to the job site in miles. Distances can include fractions, such as 2.5 miles, so the domain should allow real numbers rather than only whole numbers. Among the choices, positive real numbers best describe possible distances; the distance does not need to be greater than 2.
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