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,...
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F797dc8e7-34bf-4ddf-be4a-57a16dba5411%2F4138b14a-b021-4dad-8253-4b5d452414ff%2Fmp3nnwc_processed.png&w=3840&q=75)
Transcribed Image Text:**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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education