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MAFS.8.F.2.4

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.
Subject Area: Mathematics
Grade: 8
Domain-Subdomain: Functions
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Cluster: Use functions to model relationships between quantities. (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 Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

TEST ITEM SPECIFICATIONS

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

  • Assessment Limits :
    Function notation may not be used. Functions must be linear.
  • Calculator :

    Neutral

  • Context :

    Allowable

SAMPLE TEST ITEMS (3)

  • Test Item #: Sample Item 1
  • Question:

    The cost, C, to rent a car for d days is shown in the table.

    Write an equation that represents this function?

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 2
  • Question:

    A rental car company has a linear pricing plan. The total cost, C, to rent a car for 2, 4, 6, and 10 days, d, is shown.

    A. What is the daily rate for the pricing plan?

    B. Write an equation that represents the pricing plan.

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 3
  • Question:

    This question has two parts.

    Suzie's Plumbing uses a linear model to determine the total cost, in dollars, of a service call.

    Part A. Using the table below, create an equation to represent the linear model that Suzie's Plumbing uses to determine the total cost, C, in terms of hours worked, h.

    Part B. Select the phrases and values to make accurate statements about the service fee and the hourly charge.

    The one-time fee is represented by the ___________ of the function and is ____.

    The hourly charge is represented by the _______ of the function and is _____ per hour.

  • Difficulty: N/A
  • Type: : Multiple Types