35. Depending on the distance a package is shipped, a company charges at least $3/lb for packages up to 10 lb and $4/lb for packages weighing 10 lb or more. a. Write a piecewise linear inequality modeling the shipping charge based on the weight of the package b. Graph the inequality. ersicos
35. Depending on the distance a package is shipped, a company charges at least $3/lb for packages up to 10 lb and $4/lb for packages weighing 10 lb or more. a. Write a piecewise linear inequality modeling the shipping charge based on the weight of the package b. Graph the inequality. ersicos
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,...
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Can anyone please help me with 35?

Transcribed Image Text:### Shipping Charge Analysis
**35. Shipping Cost Model:**
- A company charges different rates based on package weights:
- $3 per pound for packages up to 10 pounds.
- $4 per pound for packages weighing 10 pounds or more.
**a. Task:**
Write a piecewise linear inequality to model this shipping charge based on the package's weight.
**b. Task:**
Graph the inequality to visually represent the cost structure.
### Exercises in Inequality and Functions
**C. Exercises**
**Graph Conjunctions or Disjunctions:**
36. Graph: \( y \geq -2 \) and \( y < 3 \)
37. Graph: \( 3x + 2y > 6 \) or \( 3x - 2y > 6 \)
**Graphing Functions:**
38. Graph: \( y = \lfloor x \rfloor \)
39. Graph: \( y > \lfloor x \rfloor \)
**Piecewise Function Analysis:**
Use technology to graph the following functions; then, rewrite each as a piecewise function without absolute values:
40. \( f(x) = |x - 2| - |x + 4| \)
41. \( g(x) = |x + 1| + |x - 1| \)
### Cumulative Review
**Determine the Nature of Relations:**
Assess whether each of the following sets is a relation, a function, both, or neither:
42. \( y = |x| \)
43. \( \{5, 3, 2, 4, 7, 1\} \)
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