Identify the expression: − 6 + 15 y .
Recognize that a variable represents a changing quantity.
Observe that 'y' is the symbol representing the variable in the expression.
Conclude that the variable is y .
Explanation
Identifying the Components The expression is − 6 + 15 y . We need to identify the variable in this expression. A variable is a symbol that represents a quantity that can change or vary. In this expression, we have a constant term, − 6 , and a term 15 y , which is the product of 15 and y .
Identifying the Variable By inspecting the expression, we can see that the symbol 'y' represents the variable. The value of the term 15 y changes as the value of y changes.
Examples
In algebra, variables are used to represent unknown quantities. For example, if you want to express the cost of buying multiple items, you can use a variable to represent the number of items. If each item costs $3, the total cost can be expressed as 3 x , w h ere x$ is the number of items. This allows you to easily calculate the total cost for any number of items. Understanding variables is fundamental to solving algebraic equations and modeling real-world situations.
The variable in the expression − 6 + 15 y is the symbol y , which represents a quantity that can change. This means that as the value of y changes, so does the value of the term 15 y in the expression. Therefore, the variable is y .
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