Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
4. Writing Equations in Two Variables
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Exercise 35 Page 271

Which variable causes a change in the other variable?

Independent Variable: p
Dependent Variable: t

Practice makes perfect
We want to identify the independent and dependent variables of the given equation. t=12p+12 This equation represents the total cost t of a meal with a tip of p percent. To identify which variable is independent and which is dependent, we need to analyze which variable causes a change in the other variable.
  • Independent Variable: Causes change in the dependent variable.
  • Dependent Variable: Changes because of the independent variable.

The percent p of the tip causes the total cost t of the meal to increase. In other words, the total cost t depends on the percent p of the tip. Therefore, p is the independent variable and t is the dependent variable.