The figure shows the cost of mailing a first-class letter, f(x), as a function of its weight, x, in ounces, for weights not exceeding 3.5 ounces. Find f(1). What does this mean in terms of the variables in this situation? 0.92 0.75 0.58 0.41 1 3. Weight (ounces) f(1) = Cost (dollars)
The figure shows the cost of mailing a first-class letter, f(x), as a function of its weight, x, in ounces, for weights not exceeding 3.5 ounces. Find f(1). What does this mean in terms of the variables in this situation? 0.92 0.75 0.58 0.41 1 3. Weight (ounces) f(1) = 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

Transcribed Image Text:### Cost of Mailing a First-Class Letter
This figure illustrates the cost of mailing a first-class letter, denoted as \( f(x) \), as a function of its weight \( x \) in ounces, for weights not exceeding 3.5 ounces.
#### Objective:
- **Find \( f(1) \)** and interpret this value in terms of the variables in this context.
#### Graph Description:
The accompanying graph is a piecewise constant function representing the postage costs, \( f(x) \), depending on the weight of the letter in ounces.
- **Axes**:
- The x-axis represents the **Weight (ounces)**, ranging from 0 to 3 ounces.
- The y-axis represents the **Cost (dollars)**, ranging from $0.41 to $0.92.
- **Plotted Points and Intervals**:
- For weights from 0 to 1 ounce, the cost remains at $0.41.
- For weights from over 1 ounce to 2 ounces, the cost increases to $0.58.
- For weights from over 2 ounces to 3 ounces, the cost is $0.75.
- For weights over 3 ounces but not exceeding 3.5 ounces, the cost reaches $0.92.
### Calculation and Interpretation:
- To find \( f(1) \), observe the point on the graph where \( x = 1 \).
- From the graph, at \( x = 1 \), the corresponding \( y \)-value is \( f(1) = 0.41 \).
### Conclusion:
- \( f(1) = 0.41 \)
- This means that the cost of mailing a first-class letter weighing exactly 1 ounce is $0.41.
This information is essential for calculating postage costs based on the weight of the letter.
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 1 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.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