**Algebra Problem:**Michelle Hong noticed that her gross pay per period increased by $2,800 when her employer changed from a bi-weekly pay plan to a monthly pay plan. What is Michelle’s annual salary?--- *Instructions for Calculation:*1. **Determine the number of pay periods:** - **Bi-weekly pay plan:** 26 pay periods a year. - **Monthly pay plan:** 12 pay periods a year.2. **Establish the relationship between pay plans:** - The monthly increase is $2,800 compared to bi-weekly. 3. **Equation setup:** - Let $ x $ be Michelle's bi-weekly pay. - Monthly pay is $ x + 2,800 $. 4. **Convert to annual salary:** - Bi-weekly annual salary: $ 26x $. - Monthly annual salary: $ 12(x + 2800) $.5. **Calculate Michelle’s annual salary based on monthly pay:** - Solve for $ 12(x + 2800) $ to find the equivalent annual salary.---This algebra problem helps in understanding the effects of different pay schedules and how to calculate changes in salary formats.

Answered: Image /qna-images/answer/4af80de3-219b-4243-b4ea-d6802ea1d6e4.jpg

Answered: 7. ALGEBRA Michelle Hong noticed that…

7. ALGEBRA Michelle Hong noticed that her gross pay per period increased by $2,800 when her employer changed from a bi-weekly pay plan to a monthly pay plan. What is Michelle's annual salary?

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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Question

**Algebra Problem:**

Michelle Hong noticed that her gross pay per period increased by $2,800 when her employer changed from a bi-weekly pay plan to a monthly pay plan. What is Michelle’s annual salary?

---

*Instructions for Calculation:*

1. **Determine the number of pay periods:**
- **Bi-weekly pay plan:** 26 pay periods a year.
- **Monthly pay plan:** 12 pay periods a year.

2. **Establish the relationship between pay plans:**
- The monthly increase is $2,800 compared to bi-weekly.

3. **Equation setup:**
- Let $ x $ be Michelle's bi-weekly pay.
- Monthly pay is $ x + 2,800 $.

4. **Convert to annual salary:**
- Bi-weekly annual salary: $ 26x $.
- Monthly annual salary: $ 12(x + 2800) $.

5. **Calculate Michelle’s annual salary based on monthly pay:**
- Solve for $ 12(x + 2800) $ to find the equivalent annual salary.

---

This algebra problem helps in understanding the effects of different pay schedules and how to calculate changes in salary formats.

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