Practical Domain and Range Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on Practical Domain and Practical Range. Round your answers to two decimal places as needed. A local towing company charges $6.96 for each mile plus a reservation fee of $11. They tow a maximum of 12 miles. Also, they have the policy that once a reservation is made, if you cancel, the reservation fee is non-refundable. Let C represent the total cost to you from the towing company and x represent the number of miles driven Identify the practical domain of this function by filling in the blanks below. Practical Domain: o M&M 12 Identify the practical range of this function by filling in the blanks below. Do not include the dollar sign in your answers. Practical Range: 11 ≤ C(x) ≤
Practical Domain and Range Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on Practical Domain and Practical Range. Round your answers to two decimal places as needed. A local towing company charges $6.96 for each mile plus a reservation fee of $11. They tow a maximum of 12 miles. Also, they have the policy that once a reservation is made, if you cancel, the reservation fee is non-refundable. Let C represent the total cost to you from the towing company and x represent the number of miles driven Identify the practical domain of this function by filling in the blanks below. Practical Domain: o M&M 12 Identify the practical range of this function by filling in the blanks below. Do not include the dollar sign in your answers. Practical Range: 11 ≤ C(x) ≤
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
![### Practical Domain and Range
**Instructions:**
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on Practical Domain and Practical Range.
**Note:**
Round your answers to two decimal places as needed.
**Problem Statement:**
A local towing company charges $6.96 for each mile plus a reservation fee of $11. They tow a maximum of 12 miles. Also, they have the policy that once a reservation is made, if you cancel, the reservation fee is non-refundable. Let *C* represent the total cost to you from the towing company and *x* represent the number of miles driven.
**Questions:**
1. **Identify the practical domain of this function by filling in the blanks below.**
Practical Domain:
\[
0 \leq x \leq 12
\]
2. **Identify the practical range of this function by filling in the blanks below. Do not include the dollar sign in your answers.**
Practical Range:
\[
11 \leq C(x) \leq 94.52
\]
---
**Explanation of the Practical Domain and Range:**
* **Domain:**
The practical domain indicates the possible values for *x*, the number of miles driven. Since the towing company tows a maximum of 12 miles and the minimum distance is 0 miles, the domain is from 0 to 12 miles.
* **Range:**
The practical range represents the possible values for *C(x)*, the total cost. The minimum cost occurs when no miles are driven (just the reservation fee, $11). The maximum cost occurs when 12 miles are driven:
\[
C(x) = 6.96 \times 12 + 11 = 94.52
\]
Hence, the range of the function is from 11 to 94.52.
This exercise helps in understanding how to define the practical limits of a real-world function both in terms of input (domain) and output (range).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa21e1c50-d204-4b1c-af4d-5bfcd54fd78e%2F2c7a3daf-5a32-4c41-94cd-73c53d07f7f6%2Fzg8y8t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Practical Domain and Range
**Instructions:**
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on Practical Domain and Practical Range.
**Note:**
Round your answers to two decimal places as needed.
**Problem Statement:**
A local towing company charges $6.96 for each mile plus a reservation fee of $11. They tow a maximum of 12 miles. Also, they have the policy that once a reservation is made, if you cancel, the reservation fee is non-refundable. Let *C* represent the total cost to you from the towing company and *x* represent the number of miles driven.
**Questions:**
1. **Identify the practical domain of this function by filling in the blanks below.**
Practical Domain:
\[
0 \leq x \leq 12
\]
2. **Identify the practical range of this function by filling in the blanks below. Do not include the dollar sign in your answers.**
Practical Range:
\[
11 \leq C(x) \leq 94.52
\]
---
**Explanation of the Practical Domain and Range:**
* **Domain:**
The practical domain indicates the possible values for *x*, the number of miles driven. Since the towing company tows a maximum of 12 miles and the minimum distance is 0 miles, the domain is from 0 to 12 miles.
* **Range:**
The practical range represents the possible values for *C(x)*, the total cost. The minimum cost occurs when no miles are driven (just the reservation fee, $11). The maximum cost occurs when 12 miles are driven:
\[
C(x) = 6.96 \times 12 + 11 = 94.52
\]
Hence, the range of the function is from 11 to 94.52.
This exercise helps in understanding how to define the practical limits of a real-world function both in terms of input (domain) and output (range).
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 2 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