How Do You Write an Equation for Direct Variation from a Table?

How Do You Write an Equation for Direct Variation from a Table?

Note:

Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take a table of values and describe the relation using a direct variation equation.

Keywords:

  • problem
  • word problem
  • word
  • translate words to algebra
  • equation of direct variation
  • find equation of direct variation
  • direct variation
  • direct proportionality
  • table
  • use table
  • constant of variation

Background Tutorials

  • Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

      • What is an Ordered Pair?What is an Ordered Pair?

      What is an Ordered Pair?

      Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

      • What's the Constant of Variation?What's the Constant of Variation?

      What's the Constant of Variation?

      The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. But why is it called the constant of variation? This tutorial answers that question, so take a look!

  • Represent proportional relationships by equations.

      • How Do You Write an Equation for Direct Variation Given a Point?How Do You Write an Equation for Direct Variation Given a Point?

      How Do You Write an Equation for Direct Variation Given a Point?

      Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take given information and turn it into a direct variation equation. Then, see how to use that equation to find the value of one of the variables.

Further Exploration

  • Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

  • Represent proportional relationships by equations.

      • How Do You Write an Equation for Direct Variation Given a Point?How Do You Write an Equation for Direct Variation Given a Point?

      How Do You Write an Equation for Direct Variation Given a Point?

      Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take given information and turn it into a direct variation equation. Then, see how to use that equation to find the value of one of the variables.