Question

Pens are shipped to the office supply store in boxes of $12$ each. Write a function rule to calculate the total number of pens when you know the number of boxes?

Answer 1

In the question we have to write the function rule to calculate the number of pens when we know the number of boxes. A function rule is defined as the relationship between the dependent and independent variables in the form of an equation or it can be defined as the process that changes the input value to output.

Complete step by step solution:
A function rule is defined as the relationship between the dependent and independent variables in the form of an equation. The function rule of a specific function, explains how to determine the value of the dependent variable $(y)$, in terms of the independent variable $(x)$. So, it can be defined as the process that changes the input value to output.
In the question the number of boxes are $12$ in which pens are to be shipped. So we have to write the function to calculate the total number of pens in each box.
Let $y$ be the number of pens at the office supply store.
So, the function would be:
$\Rightarrow y = 12x$
Where $x$ is the number of boxes.
Here, $y$ is dependent variable whose value depends upon the value of independent variable $x$.

Note:
A Function defines what values need to be input in order for the calculation to run correctly.
Function also defines what is the output for the given input data. In these types of questions one should know what is dependent and what is the independent variable for making equations for the given conditions.