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General Information

Related Standards: MAFS.8.F.2.4
Reporting Category: Functions
Type: : Multiple Types
Difficulty: N/A
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.

Possible Answer:
Part A. 

C = 35h + 40 (or any equivalent equation)

Part B.

 

The one-time fee is represented by the initial value of the function and is $40.

The hourly charge is represented by the rate of change of the function and is $35 per hour.


 


Aligned Standards

Code Description
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.


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