Find three sets of x- and y-values for the following. x tickets Sy 3 tickets $12 Complete the following table. 35 x y 12 28 (Simplify your answers. Do not include the $ symbol in your answers.) 11
Find three sets of x- and y-values for the following. x tickets Sy 3 tickets $12 Complete the following table. 35 x y 12 28 (Simplify your answers. Do not include the $ symbol in your answers.) 11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![### Proportional Relationships: Finding Equivalent Ratios
#### Objective:
Find three sets of \( x \)- and \( y \)-values given the proportional relationship below:
\[ \frac{3 \text{ tickets}}{12} = \frac{x \text{ tickets}}{y} \]
#### Problem:
Complete the following table based on the proportional relationship provided. Simplify all answers and do not include the dollar symbol ($) in your responses.
#### Table:
| \( x \) | \( 3 \) | \( 5 \) | \( 11 \) |
|:---:|:---:|:---:|:---:|
| \( y \) | \( 12 \) | \(\_\_\) | \(\_\_\) |
#### Instructions:
1. Use the given proportion \(\frac{3 \text{ tickets}}{12} = \frac{x \text{ tickets}}{y}\) to identify the corresponding \( y \)-values for each given \( x \)-value.
2. Ensure your answers are simplified and do not include the dollar symbol.
#### Detailed Solution:
To find \( y \), we can set up the equation based on the given proportion:
\[ \frac{3}{12} = \frac{x}{y} \]
For each \( x \)-value:
##### Case 1: \( x = 3 \)
\[ \frac{3}{12} = \frac{3}{y} \]
\[ y = 12 \]
##### Case 2: \( x = 5 \)
\[ \frac{3}{12} = \frac{5}{y} \]
Cross-multiply to solve for \( y \):
\[ 3y = 5 \times 12 \]
\[ 3y = 60 \]
\[ y = 20 \]
##### Case 3: \( x = 11 \)
\[ \frac{3}{12} = \frac{11}{y} \]
Cross-multiply to solve for \( y \):
\[ 3y = 11 \times 12 \]
\[ 3y = 132 \]
\[ y = 44 \]
#### Updated Table:
| \( x \) | \( 3 \) | \( 5 \) | \( 11 \) |
|:---:|:---:|:---:|:---:|
| \(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F893c97d9-09c7-4f3e-b188-bcf1f5d21bb1%2F29645575-ec06-4c04-a271-c17cb2c0f531%2F3wj1iz_processed.png&w=3840&q=75)
Transcribed Image Text:### Proportional Relationships: Finding Equivalent Ratios
#### Objective:
Find three sets of \( x \)- and \( y \)-values given the proportional relationship below:
\[ \frac{3 \text{ tickets}}{12} = \frac{x \text{ tickets}}{y} \]
#### Problem:
Complete the following table based on the proportional relationship provided. Simplify all answers and do not include the dollar symbol ($) in your responses.
#### Table:
| \( x \) | \( 3 \) | \( 5 \) | \( 11 \) |
|:---:|:---:|:---:|:---:|
| \( y \) | \( 12 \) | \(\_\_\) | \(\_\_\) |
#### Instructions:
1. Use the given proportion \(\frac{3 \text{ tickets}}{12} = \frac{x \text{ tickets}}{y}\) to identify the corresponding \( y \)-values for each given \( x \)-value.
2. Ensure your answers are simplified and do not include the dollar symbol.
#### Detailed Solution:
To find \( y \), we can set up the equation based on the given proportion:
\[ \frac{3}{12} = \frac{x}{y} \]
For each \( x \)-value:
##### Case 1: \( x = 3 \)
\[ \frac{3}{12} = \frac{3}{y} \]
\[ y = 12 \]
##### Case 2: \( x = 5 \)
\[ \frac{3}{12} = \frac{5}{y} \]
Cross-multiply to solve for \( y \):
\[ 3y = 5 \times 12 \]
\[ 3y = 60 \]
\[ y = 20 \]
##### Case 3: \( x = 11 \)
\[ \frac{3}{12} = \frac{11}{y} \]
Cross-multiply to solve for \( y \):
\[ 3y = 11 \times 12 \]
\[ 3y = 132 \]
\[ y = 44 \]
#### Updated Table:
| \( x \) | \( 3 \) | \( 5 \) | \( 11 \) |
|:---:|:---:|:---:|:---:|
| \(
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 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
