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?

### 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. \( \{5, 3, 2, 4, 7, 1\} \)
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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