**Graphing a Linear Equation: Gym Membership****Problem Statement:**Make a graph of the situation. The equation $ y = 15x + 20 $ represents the cost $ y $ (in dollars) of a gym membership after $ x $ months.**Blank Graph:**A grid is provided with the following features:- The x-axis is labeled "Gym membership (months)" and is marked from 0 to 10.- The y-axis is labeled "Cost (dollars)" and is marked from -80 to 80.- The graph is currently empty and is intended for plotting the linear relationship given by the equation.**Equation:**The given linear equation is $ y = 15x + 20 $.**Solution Steps:**1. **Equation Understanding:** - The equation $ y = 15x + 20 $ signifies that the cost of the gym membership starts at $20 and increases by $15 for each month.2. **Table of Values (Optional Scratch Work):** - A table is suggested with: - $ x $ representing months (0, 1, 2) - $ y $ representing the cost (20, 35, 50) Example Table: \[ \begin{array}{|c|c|} \hline x (\text{months}) & y (\text{dollars}) \\ \hline 0 & 20 \\ 1 & 35 \\ 2 & 50 \\ \hline \end{array} \]3. **Graphing Instructions:** - Plot the points on the graph using the table values. - Connect the points to visualize the linear relationship.**Context:**This task helps students understand how to interpret and graph linear equations in real-world contexts, such as calculating cumulative costs over time.

Answered: Image /qna-images/answer/4138b14a-b021-4dad-8253-4b5d452414ff.jpg

Make a graph of the situation. The equation y 15z + 20 represents the cost y (in dollers) ofa gym membership after monthe. Line + Move 5 Undo A Redo x Reset -45 40 -35 -30 -25 20 15 40 -5- 10 Gym membership (months) Grade MRLChapter 4Section 4.1: Graphing Linear Equations Exeraises: 1-33 Question 7 Cost (dollars)

Make a graph of the situation. The equation y 15z + 20 represents the cost y (in dollers) ofa gym membership after monthe. Line + Move 5 Undo A Redo x Reset -45 40 -35 -30 -25 20 15 40 -5- 10 Gym membership (months) Grade MRLChapter 4Section 4.1: Graphing Linear Equations Exeraises: 1-33 Question 7 Cost (dollars)

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

**Graphing a Linear Equation: Gym Membership**

**Problem Statement:**

Make a graph of the situation. The equation $ y = 15x + 20 $ represents the cost $ y $ (in dollars) of a gym membership after $ x $ months.

**Blank Graph:**

A grid is provided with the following features:
- The x-axis is labeled "Gym membership (months)" and is marked from 0 to 10.
- The y-axis is labeled "Cost (dollars)" and is marked from -80 to 80.
- The graph is currently empty and is intended for plotting the linear relationship given by the equation.

**Equation:**

The given linear equation is $ y = 15x + 20 $.

**Solution Steps:**

1. **Equation Understanding:**
- The equation $ y = 15x + 20 $ signifies that the cost of the gym membership starts at $20 and increases by $15 for each month.

2. **Table of Values (Optional Scratch Work):**
- A table is suggested with:
- $ x $ representing months (0, 1, 2)
- $ y $ representing the cost (20, 35, 50)

Example Table:
\[
\begin{array}{|c|c|}
\hline
x (\text{months}) & y (\text{dollars}) \\
\hline
0 & 20 \\
1 & 35 \\
2 & 50 \\
\hline
\end{array}
\]

3. **Graphing Instructions:**
- Plot the points on the graph using the table values.
- Connect the points to visualize the linear relationship.

**Context:**

This task helps students understand how to interpret and graph linear equations in real-world contexts, such as calculating cumulative costs over time.

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