Tried to solve it and I couldn’t **Determining Relationships Between Variables**In this educational exercise, we seek to determine whether the variable \( r \) is related to the variable \( x \) by a linear, exponential, or power function. The tables (a), (b), and (c) below present different sets of data for analysis. For each case, your task is to find the function that defines the relationship.**Table (a):**\[\begin{array}{c|ccccc}x & 0 & 1 & 2 & 3 & 4 \\\hliner & 5 & 10 & 40 & 135 & 320 \\\end{array}\]**Table (b):**\[\begin{array}{c|cccc}x & 0 & 1 & 2 & 3 & 4 \\\hliner & 47 & 94 & 188 & 376 & 752 \\\end{array}\]**Table (c):**\[\begin{array}{c|ccccc}x & 0 & 1 & 2 & 3 & 4 \\\hliner & 0 & 2.5 & 5 & 7.5 & 10 \\\end{array}\]Your objective is to analyze each dataset to determine:1. Is there a linear relationship?2. Is there an exponential growth or decay?3. Is there a power function relationship?Use appropriate mathematical tools and reasoning for analysis, and document the function that describes each relationship.

To solve the following problem and write as a function

Answered: he whether the variable r is related to…

he whether the variable r is related to the a) b) c) X 0 1 2 3 لیا 4 X 0 1 23 4 XO 0 1 23 4 r 0 5 40 135 320 r 47 94 188 376 752 r 0 2.5 5 7.5 10

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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Question

Tried to solve it and I couldn’t

**Determining Relationships Between Variables**

In this educational exercise, we seek to determine whether the variable \( r \) is related to the variable \( x \) by a linear, exponential, or power function. The tables (a), (b), and (c) below present different sets of data for analysis. For each case, your task is to find the function that defines the relationship.

**Table (a):**
\[
\begin{array}{c|ccccc}
x & 0 & 1 & 2 & 3 & 4 \\
\hline
r & 5 & 10 & 40 & 135 & 320 \\
\end{array}
\]

**Table (b):**
\[
\begin{array}{c|cccc}
x & 0 & 1 & 2 & 3 & 4 \\
\hline
r & 47 & 94 & 188 & 376 & 752 \\
\end{array}
\]

**Table (c):**
\[
\begin{array}{c|ccccc}
x & 0 & 1 & 2 & 3 & 4 \\
\hline
r & 0 & 2.5 & 5 & 7.5 & 10 \\
\end{array}
\]

Your objective is to analyze each dataset to determine:
1. Is there a linear relationship?
2. Is there an exponential growth or decay?
3. Is there a power function relationship?

Use appropriate mathematical tools and reasoning for analysis, and document the function that describes each relationship.

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