A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be?

Rational numbers include all the numbers between the whole ones, so fractions and decimals included. Any number that can be written as a fraction (including repeating decimals).

Now, domain is the set of x-values (input) of the function.

The input of the function C(w), is w, which is the number of pounds.

You can buy 3 pounds, 4 pounds etc. as well as 3.2 pounds, 3/4 pound etc.

So, you can buy rational numbers number of pounds, not only integers.

Also, NOT ALL RATIONALS, since you can't buy NEGATIVE POUNDS of beef, so we can say:

THe domain is positive rational numbers.

akposevictor akposevictor · Answer 2 · 2022-03-21T15:35:25+01:00

Th weight of the beef package cannot be negative nor irrational. Therefore, the most appropriate domain for this function would be: positive rational numbers.

What is the Domain of a Function?

Domain of a function can be defined as all possible set of input values that will give corresponding output.

Thus, in this situation where the function C(w) represents the cost, in dollars, while w represents the weigh in pounds of the package of the beef, thus:

w is the input (Domain)
C(w) is the output (Range)

Thus, weight of the beef package cannot be negative nor irrational. Therefore, the most appropriate domain for this function would be: positive rational numbers.

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