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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**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?

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*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.
Transcribed Image Text:**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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