Learn on PengienVision, Mathematics, Grade 6Chapter 4: Represent and Solve Equations and Inequalities

Lesson 10: Relate Tables, Graphs, and Equations

Property Relationships between variables can be represented in three different ways: 1. A table of values displays specific data points with precise numerical values. 2. A graph is a visual display of the data. It is easier to spot trends and describe the overall behavior of the variables from a graph. 3. An algebraic equation is a compact summary of the model. It can be used to analyze the model and to make predictions.

Section 1

Representing linear relationships

Property

Relationships between variables can be represented in three different ways:

  1. A table of values displays specific data points with precise numerical values.
  2. A graph is a visual display of the data. It is easier to spot trends and describe the overall behavior of the variables from a graph.
  3. An algebraic equation is a compact summary of the model. It can be used to analyze the model and to make predictions.

Examples

  • A gym membership costs 15 dollars a month plus a 60 dollar sign-up fee. The equation is C=60+15mC = 60 + 15m, where CC is the total cost and mm is the number of months.
  • A table shows the distance a snail travels: At 1 hour, it has moved 2 feet. At 2 hours, 4 feet. At 3 hours, 6 feet. This shows a constant speed.

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Representing linear relationships

Property

Relationships between variables can be represented in three different ways:

  1. A table of values displays specific data points with precise numerical values.
  2. A graph is a visual display of the data. It is easier to spot trends and describe the overall behavior of the variables from a graph.
  3. An algebraic equation is a compact summary of the model. It can be used to analyze the model and to make predictions.

Examples

  • A gym membership costs 15 dollars a month plus a 60 dollar sign-up fee. The equation is C=60+15mC = 60 + 15m, where CC is the total cost and mm is the number of months.
  • A table shows the distance a snail travels: At 1 hour, it has moved 2 feet. At 2 hours, 4 feet. At 3 hours, 6 feet. This shows a constant speed.