Questions: What are 3 different ways you can refer to the y-variable?

Solution Steps

To refer to the $y$-variable, we can use different terminologies or contexts in mathematics and programming. Here are three different ways:

1. Dependent Variable: In the context of functions, $y$ is often referred to as the dependent variable because its value depends on the value of the independent variable, usually denoted as $x$.
2. Output: In the context of functions, $y$ can be referred to as the output of the function.
3. Ordinate: In the context of coordinate geometry, $y$ is referred to as the ordinate, which is the second coordinate in an ordered pair (x, y).

We start by defining the function \( y = 2x + 3 \). This function will be used to calculate the value of \( y \) for a given \( x \).

For \( x = 5 \), we substitute \( x \) into the function: \[ y = 2(5) + 3 = 10 + 3 = 13 \] Thus, the dependent variable \( y \) is 13.

Using the same function \( y = 2x + 3 \) and substituting \( x = 5 \), we get: \[ y = 2(5) + 3 = 10 + 3 = 13 \] Thus, the function output \( y \) is 13.

Again, using the function \( y = 2x + 3 \) and substituting \( x = 5 \), we find: \[ y = 2(5) + 3 = 10 + 3 = 13 \] Thus, the ordinate \( y \) is 13.

Final Answer