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The equation \( c=8 t \) can be used to determine the total cost, \( c \), in dollars for \( t \) tickets to the school musical. a. Identify the independent variable and the dependent variable.

Ask by Greene Morrison. in the United States
Mar 13,2025

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Answer

\( t \) is the independent variable and \( c \) is the dependent variable.

Solution

In the equation \( c = 8t \): - The independent variable is \( t \) (the number of tickets), as it can be chosen freely and affects the outcome. - The dependent variable is \( c \) (the total cost), as it depends on the value of \( t \). Thus, \( t \) is the independent variable and \( c \) is the dependent variable.

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The Deep Dive

In this equation, the independent variable is \( t \) (the number of tickets), as you can choose how many tickets to purchase regardless of the cost. On the other hand, the dependent variable is \( c \) (the total cost), which changes based on the value of \( t \) since the total cost is determined by the number of tickets bought. Understanding the relationship between independent and dependent variables is crucial in various fields, such as statistics and finance, since it helps to identify cause-and-effect scenarios. For example, if you want to analyze how purchasing more tickets impacts your total spending, recognizing which variable influences the other lays the groundwork for effective budgeting and planning.

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