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**Understanding Rate of Change in Linear Functions** **Question:** Which of these functions has a rate of change that is less than that of the linear function represented by the table of values below, and why? **Table of Values:** | x | y | |----|----| | -4 | -10| | -1 | -9 | | 5 | -7 | | 8 | 6 | | 14 | -4 | **Options:** 1. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is \(\frac{1}{3}\). 2. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 3. 3. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 1.

**Understanding Rate of Change in Linear Functions** **Question:** Which of these functions has a rate of change that is less than that of the linear function represented by the table of values below, and why? **Table of Values:** | x | y | |----|----| | -4 | -10| | -1 | -9 | | 5 | -7 | | 8 | 6 | | 14 | -4 | **Options:** 1. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is \(\frac{1}{3}\). 2. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 3. 3. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 1.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Understanding Rate of Change in Linear Functions** **Question:** Which of these functions has a rate of change that is less than that of the linear function represented by the table of values below, and why? **Table of Values:** | x | y | |----|----| | -4 | -10| | -1 | -9 | | 5 | -7 | | 8 | 6 | | 14 | -4 | **Options:** 1. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is \(\frac{1}{3}\). 2. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 3. 3. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 1.
Transcribed Image Text:**Understanding Rate of Change in Linear Functions** **Question:** Which of these functions has a rate of change that is less than that of the linear function represented by the table of values below, and why? **Table of Values:** | x | y | |----|----| | -4 | -10| | -1 | -9 | | 5 | -7 | | 8 | 6 | | 14 | -4 | **Options:** 1. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is \(\frac{1}{3}\). 2. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 3. 3. \( y = \frac{1}{4}x + 4 \), because the rate of change of the function represented by the table of values is 1.
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