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.
