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# MAFS.6.EE.3.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Subject Area: Mathematics
Domain-Subdomain: Expressions & Equations
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Represent and analyze quantitative relationships between dependent and independent variables. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### TEST ITEM SPECIFICATIONS

• Item Type(s): This benchmark may be assessed using: SHT , MI item(s)

• Assessment Limits :
Items must involve relationships and/or equations of the form ???? = ???????? or ???? = ???? + ????. Numbers in items should not require students to perform operations with negative rational numbers or result in answers with negative rational numbers. Variables need to be defined.
• Calculator :

No

• Context :

Required

### SAMPLE TEST ITEMS (2)

• Test Item #: Sample Item 1
• Question: A graph of Evan’s bank account is shown. What are the dependent and independent variables?

• Difficulty: N/A
• Type: MI: Matching Item

• Test Item #: Sample Item 2
• Question: The cost per bushel of corn at Farm A is constant. The graph shows the total cost, C, in dollars, of purchasing different numbers of bushels of corn, b, at a farm.

In the table below, select the phrase that represents the independent variable, the phrase that represents the dependent variable, and the equation that represents the graph.

• Difficulty: N/A
• Type: SHT: Selectable Hot Text