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?
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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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?
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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.
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