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The grocery store where Ms. Maple works pays her [tex]$6.50 per hour. Any time she works more than 40 hours per week, she is paid time and a half for the additional hours. Her weekly pay, \( w \), is found using the following equation, where \( h \) is the total number of hours worked:

\[ w = 6.50h + 6.50(1.5)(h - 40) \]

How much would Ms. Maple earn if she worked 43 hours one week?

A. $[/tex]279.50
B. $289.25

Sagot :

GinnyAnswer
Certainly! To determine Ms. Maple's weekly pay if she worked 43 hours one week, we can break down the calculation into steps.

1. Identify Regular and Overtime Hours:
- Ms. Maple's regular working hours per week are 40 hours.
- She worked 43 hours in total this week.
- Overtime hours = Total hours worked - Regular hours = 43 - 40 = 3 hours.

2. Calculate Regular Pay:
- Regular pay rate = \[tex]$6.50 per hour. - Regular hours = 40 hours. - Regular pay = Regular hours × Regular pay rate = 40 × \$[/tex]6.50 = \[tex]$260.00. 3. Calculate Overtime Pay: - Overtime pay rate is 1.5 times the regular pay rate. - Overtime pay rate = \$[/tex]6.50 × 1.5 = \[tex]$9.75 per hour. - Overtime hours = 3 hours. - Overtime pay = Overtime hours × Overtime pay rate = 3 × \$[/tex]9.75 = \[tex]$29.25. 4. Calculate Total Weekly Pay: - Total weekly pay = Regular pay + Overtime pay = \$[/tex]260.00 + \[tex]$29.25 = \$[/tex]289.25.

Therefore, if Ms. Maple worked 43 hours in one week, she would earn \$289.25.
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