Identify independent and dependent variables

Learning Objectives Define independent and dependent variables in their own words. Identify the independent variable in a word problem, equation, or table of values. Identify the dependent variable in a word problem, equation, or table of values. Explain the cause-and-effect relationship between independent and dependent variables. Correctly label the independent variable on the x-axis and the dependent variable on the y-axis of a graph. Write a simple equation using variables to represent a real-world relationship. Does the number of hours you play a video game affect your score, or does your score affect the number of hours you play? 🤔 Let's figure out what's in charge! In this tutorial, we will learn how to identify two key players in any mathematical relation...

TermDefinitionExample VariableA symbol, usually a letter (like x or t), that represents a quantity that can change or take on different values.In the formula for the area of a circle, A = πr², the letters 'A' and 'r' are variables representing the Area and radius, respectively. Independent VariableThe variable that is changed or controlled in a relationship. It is the 'cause' or the 'input' value. You can often think of it as the variable you choose or manipulate.If you are paid $15 per hour, the number of hours you work is the independent variable because you can choose how many hours to work. Dependent VariableThe variable that is observed and that changes in response to the independent variable. It is the 'effect' or the 'output&#0...

The 'Depends On' Test The [dependent variable] depends on the [independent variable]. To identify the variables, insert them into this sentence structure. The version that makes logical sense reveals which is which. For example, 'My phone bill depends on the data I use' makes sense, but 'The data I use depends on my phone bill' does not. Function Notation y = f(x) This is read as 'y is a function of x'. This notation explicitly states that 'y' (the dependent variable) is determined by the value of 'x' (the independent variable). Graphical Convention Independent Variable → x-axis (horizontal) Dependent Variable → y-axis (vertical) When graphing a relationship, the independent variable is always plotted along...