3. Determine whether each data set represents a directvariation, an inverse variation, or neither.a)6.2510y542.5b)8.1424y122136

Name: 3. Determine whether each data set represents a directvariation, an i
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Description: 3. Determine whether each data set represents a directvariation, an inverse variation, or neither.a)6.2510y542.5b)8.1424y122136

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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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3. Determine whether each data set represents a direct
variation, an inverse variation, or neither.
a)
6.25
10
y
5
4
2.5
b)
8.
14
24
y
12
21
36

Expert Solution

Step 1

The equation representing direct variation is $y = k x$ and the equation representing inverse variation is $y = \frac{k}{x}$ .

That is, $\frac{y}{x}$ will be a constant for direct variation and $x y$ is a constant for inverse variation. If both $\frac{y}{x}$ and $x y$ is not a constant then it is neither direct variation nor an inverse variation.

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