Question

Choose the most appropriate name for the function described below:

The postage required to mail a box depends on its weight.

A. box(postage), or b(p)
B. postage(weight), or p(w)
C. postage(box), or p(b)
D. weight(postage), or w(p)

Answer 1

The correct function name for deciding the postage based on the weight of a box is postage(weight), or p(w), where weight is the independent variable. In a mailroom scenario, where packages like a box of books need to be weighed, kilograms would be the appropriate metric unit of mass to use for weighing.

Step-by-step explanation:

The most appropriate name for the function described where the postage required to mail a box depends on its weight would be postage(weight), or p(w).

This function name indicates that the postage is the dependent variable, which is determined by the weight of the box, the independent variable. In this situation, Jesse is working in a mailroom and must determine the correct postage for a package.

To do so, he needs to measure the weight of the box first, and then use that measurement to find out the corresponding postage cost.

As learned in the earlier concepts, Jesse should use the metric unit of mass, specifically kilograms, to weigh the package since the package contains multiple books and documents, which would be too heavy to measure in smaller units like grams or milligrams.

Understanding units of weight is essential when working with postage, as the cost of mailing a package is directly correlated to its weight.

Answer 2

Final Answer:

The most appropriate name for the function described, where the postage required to mail a box depends on its weight, is postageᵥₓ or pᵥₓ, which corresponds to option B.

Step-by-step explanation:

The most fitting name for the function described, where the postage required to mail a box depends on its weight, is postage₍weight₎ or p₍w₎, which corresponds to option B.

In this context, the function associates the postage cost with the weight of the box. Hence, the independent variable (weight) should be the input of the function, and the dependent variable (postage) should be the output. Option B, postage₍weight₎ or p₍w₎, accurately represents this relationship.

Mathematically, the function can be denoted as p₍w₎, where p is the postage function, and w is the weight of the box. This notation adheres to the conventional way of expressing functions, placing the input variable within parentheses.

Selecting an appropriate name for the function is crucial for clear and consistent mathematical expressions. In this scenario, postage₍weight₎ or p₍w₎ accurately communicates the functional relationship, aiding mathematicians, scientists, or users in understanding the role and significance of each variable concerning mailing a bo