Examples, solutions, videos, and lessons to help Grade 8 students learn how to construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Common Core: 8.F.4
The following table shows how to construct linear functions from its graph or a table of values. Scroll down the page for more examples and solutions.
Constructing Linear Functions (8.F.4)
Use Graphs and Tables to Represent Real World Situations and Solve Problems
The football booster club ordered 7,500 L of water for Friday night’s game. The water sale averaged 150 L per minute. Solve the problem algebraically, numerically, and graphically to determine the amount of water remaining after 45 minutes?
CCSS 8.F.4 - Modeling with Functions
8.F.4-1 - Constructing Linear Functions
8.f.4 Constructing a Linear Function
The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.
Conjecturing About Functions
Grades 6-8 / Math / Reasoning
CCSS: Math.8.F.B.4 Math.Practice.MP2 Math.Practice.MP3
Analyze patterns and represent functions.
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