Janice earns $10 per hour. If her regular hours are 40 hours per week, and she receives time-and-a-half for overtime, find her total pay for a week where she works 45 hours.



Answer :

To determine Janice's total pay for a week where she works 45 hours, we need to break down her pay into regular and overtime components and then sum them.

1. Regular Hours and Pay:
- Janice's regular work hours are 40 hours per week.
- Her hourly wage is [tex]$10 per hour. To calculate her regular pay: \[ \text{Regular Pay} = \text{Regular Hours} \times \text{Hourly Wage} \] Substituting the values: \[ \text{Regular Pay} = 40 \text{ hours} \times \$[/tex]10/\text{hour} = \[tex]$400 \] 2. Overtime Hours and Pay: - Janice worked a total of 45 hours, so her overtime hours are: \[ \text{Overtime Hours} = \text{Total Hours Worked} - \text{Regular Hours} \] Substituting the given values: \[ \text{Overtime Hours} = 45 \text{ hours} - 40 \text{ hours} = 5 \text{ hours} \] - She receives time-and-a-half for overtime, which means 1.5 times her regular hourly wage. To calculate her overtime pay: \[ \text{Overtime Pay} = \text{Overtime Hours} \times \text{Hourly Wage} \times 1.5 \] Substituting the values: \[ \text{Overtime Pay} = 5 \text{ hours} \times \$[/tex]10/\text{hour} \times 1.5 = \[tex]$75 \] 3. Total Pay: - Her total pay is the sum of her regular pay and her overtime pay. To calculate the total pay: \[ \text{Total Pay} = \text{Regular Pay} + \text{Overtime Pay} \] Substituting the values: \[ \text{Total Pay} = \$[/tex]400 + \[tex]$75 = \$[/tex]475
\]

Therefore, Janice's total pay for the week when she works 45 hours is $475.