Suppose you are making a table of solutions for the given equation. What three values would you select to make the calculations for finding the coresponding yvalues the easiest? (Select all that appl 0-5 0-3

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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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**Equation Analysis for Solution Table Creation**

**Problem Statement:**
Suppose you are making a table of solutions for the given equation. What three \(x\)-values would you select to make the calculations for finding the corresponding \(y\)-values the easiest? (Select all that apply.)

\[ y = \frac{3}{5}x + 7 \]

**Options:**
1. [ ] \(x = 0\)
2. [ ] \(x = -5\)
3. [ ] \(x = 3\)
4. [ ] \(x = -3\)
5. [ ] \(x = 5\) 

*[ ] indicates a checkbox where you can select the options.*

**Explanation:**
The equation given is a linear equation in the form \(y = mx + b\) where \(m\) is the slope and \(b\) is the y-intercept. To create a solution table easily, selecting \(x\)-values that simplify the multiplication with the fraction \(\frac{3}{5}\) would be beneficial. Consider whole numbers and values that would result in integer outputs or simple fractional results for \(y\).

**Visualization:**
In the diagram (if included), each \(x\)-value would correspond to a distinct computed \(y\)-value based on the linear equation. You would plot these pairs \((x, y)\) on a Cartesian plane to visualize the linear relationship.
Transcribed Image Text:**Equation Analysis for Solution Table Creation** **Problem Statement:** Suppose you are making a table of solutions for the given equation. What three \(x\)-values would you select to make the calculations for finding the corresponding \(y\)-values the easiest? (Select all that apply.) \[ y = \frac{3}{5}x + 7 \] **Options:** 1. [ ] \(x = 0\) 2. [ ] \(x = -5\) 3. [ ] \(x = 3\) 4. [ ] \(x = -3\) 5. [ ] \(x = 5\) *[ ] indicates a checkbox where you can select the options.* **Explanation:** The equation given is a linear equation in the form \(y = mx + b\) where \(m\) is the slope and \(b\) is the y-intercept. To create a solution table easily, selecting \(x\)-values that simplify the multiplication with the fraction \(\frac{3}{5}\) would be beneficial. Consider whole numbers and values that would result in integer outputs or simple fractional results for \(y\). **Visualization:** In the diagram (if included), each \(x\)-value would correspond to a distinct computed \(y\)-value based on the linear equation. You would plot these pairs \((x, y)\) on a Cartesian plane to visualize the linear relationship.
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