A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79.
A function, f(x), is written to represent the cost of purchasing x packages of paper towels.
What is the practical domain for the function f(x)?
these are the options
all real numbers
all whole numbers
all whole numbers that are multiples of 3
all positive integers
To determine the practical domain for the function f(x), we need to consider what values of x would make sense in the context of the problem.
In this case, x represents the number of packages of paper towels. Since we cannot have a negative or fractional number of packages, the practical domain must exclude those values. Hence, the answer cannot be "all real numbers" or "all positive integers" since they include values that are not applicable.
Looking at the choices that remain, the only option that makes sense in the context of purchasing packages of paper towels is "all whole numbers." This is because whole numbers represent a count of packages, and we can purchase 1, 2, 3, and so on, package(s) of paper towels.
Therefore, the practical domain for the function f(x) is "all whole numbers."