The vector u = (3180, 2450) gives the numbers of hamburgers and hot dogs, respectively, sold at a fast-food stand in one month. The vector v = (2.25, 1.75) gives the prices (in dollars) of the food items. Find the dot product u v. Interpret the result in the context of the problem. O The dot product represents the total revenue earned from selling just the hot dogs. O The dot product represents the total revenue earned from selling just the hamburgers. The dot product represents the total revenue earned from selling the hamburgers and hot dogs. O The dot product represents the the total number of hamburgers and hot dogs sold.
The vector u = (3180, 2450) gives the numbers of hamburgers and hot dogs, respectively, sold at a fast-food stand in one month. The vector v = (2.25, 1.75) gives the prices (in dollars) of the food items. Find the dot product u v. Interpret the result in the context of the problem. O The dot product represents the total revenue earned from selling just the hot dogs. O The dot product represents the total revenue earned from selling just the hamburgers. The dot product represents the total revenue earned from selling the hamburgers and hot dogs. O The dot product represents the the total number of hamburgers and hot dogs sold.
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
![### Understanding Dot Product in the Context of Revenue Calculation
#### Problem Statement:
Given the vectors:
- **u** = (3180, 2450), representing the numbers of hamburgers and hot dogs sold at a fast-food stand in one month.
- **v** = (2.25, 1.75), representing the prices in dollars of hamburgers and hot dogs, respectively.
Calculate the dot product of these vectors \( \mathbf{u} \cdot \mathbf{v} \).
#### Calculation of Dot Product:
The dot product of two vectors \( \mathbf{u} = (u_1, u_2) \) and \( \mathbf{v} = (v_1, v_2) \) is given by:
\[
\mathbf{u} \cdot \mathbf{v} = u_1 \cdot v_1 + u_2 \cdot v_2
\]
#### Interpretation of Result:
Interpreting the result in the context of the problem, identify the correct statement from the given options:
- ○ The dot product represents the total revenue earned from selling just the hot dogs.
- ○ The dot product represents the total revenue earned from selling just the hamburgers.
- ● The dot product represents the total revenue earned from selling the hamburgers and hot dogs.
- ○ The dot product represents the total number of hamburgers and hot dogs sold.
From the explanation and calculation, selecting the third option with a checkmark symbolizes that the dot product represents the **total revenue earned from selling both the hamburgers and hot dogs**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F031412a4-ce24-4200-b630-467aaa8d4c51%2Fdf2e045c-cf75-4fa8-8eb2-a2391bac4e5c%2Fevo395p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Dot Product in the Context of Revenue Calculation
#### Problem Statement:
Given the vectors:
- **u** = (3180, 2450), representing the numbers of hamburgers and hot dogs sold at a fast-food stand in one month.
- **v** = (2.25, 1.75), representing the prices in dollars of hamburgers and hot dogs, respectively.
Calculate the dot product of these vectors \( \mathbf{u} \cdot \mathbf{v} \).
#### Calculation of Dot Product:
The dot product of two vectors \( \mathbf{u} = (u_1, u_2) \) and \( \mathbf{v} = (v_1, v_2) \) is given by:
\[
\mathbf{u} \cdot \mathbf{v} = u_1 \cdot v_1 + u_2 \cdot v_2
\]
#### Interpretation of Result:
Interpreting the result in the context of the problem, identify the correct statement from the given options:
- ○ The dot product represents the total revenue earned from selling just the hot dogs.
- ○ The dot product represents the total revenue earned from selling just the hamburgers.
- ● The dot product represents the total revenue earned from selling the hamburgers and hot dogs.
- ○ The dot product represents the total number of hamburgers and hot dogs sold.
From the explanation and calculation, selecting the third option with a checkmark symbolizes that the dot product represents the **total revenue earned from selling both the hamburgers and hot dogs**.
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
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
I need you to answer the top question where it says: The
Solution
by Bartleby ExpertRecommended 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