The table represents points on a graph of a linear function. What is the rate of change of y with respect to x? 7 14 21 28 6. 11 16 21 26 -7/5 O -6/7 1/5 O 5/7
The table represents points on a graph of a linear function. What is the rate of change of y with respect to x? 7 14 21 28 6. 11 16 21 26 -7/5 O -6/7 1/5 O 5/7
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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![The image presents a table of values representing points on a graph of a linear function. The question asks: "What is the rate of change of y with respect to x?" The table is as follows:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 7 & 14 & 21 & 28 \\
\hline
y & 6 & 11 & 16 & 21 & 26 \\
\hline
\end{array}
\]
Options to choose from are:
- \(-7/5\)
- \(-6/7\)
- \(1/5\)
- \(5/7\)
The rate of change, commonly referred to as the slope in the context of linear functions, can be calculated by finding the change in y divided by the change in x between any two points. For example, between points (7, 11) and (14, 16), the change in y is \(16 - 11 = 5\) and the change in x is \(14 - 7 = 7\). Therefore, the rate of change is \(5/7\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e89ff2e-c6b7-42d9-be03-7f2038dad4fb%2F1ea1040b-a10b-473b-bdc6-071ede79f1a3%2Flv15r1p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a table of values representing points on a graph of a linear function. The question asks: "What is the rate of change of y with respect to x?" The table is as follows:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 0 & 7 & 14 & 21 & 28 \\
\hline
y & 6 & 11 & 16 & 21 & 26 \\
\hline
\end{array}
\]
Options to choose from are:
- \(-7/5\)
- \(-6/7\)
- \(1/5\)
- \(5/7\)
The rate of change, commonly referred to as the slope in the context of linear functions, can be calculated by finding the change in y divided by the change in x between any two points. For example, between points (7, 11) and (14, 16), the change in y is \(16 - 11 = 5\) and the change in x is \(14 - 7 = 7\). Therefore, the rate of change is \(5/7\).
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