To determine Malik Boykin's total hours and gross pay for each week, we'll proceed by following a systematic approach for each week. Malik earns \[tex]$8.20 per hour for the first 40 hours each week and time and a half (which is 1.5 times the regular pay rate) for any hours beyond that.
### Week of 3/10:
Let's first calculate Malik's total hours for each day from the given data.
Hours worked per day:
- Monday (M): 5.5 hours
- Tuesday (T): 6 hours
- Wednesday (W): 9 hours
- Thursday (Th): 12 hours
- Friday (F): 7 hours
- Saturday (S): 0 hours
Step 1: Calculate Total Hours Worked:
\[
5.5 + 6 + 9 + 12 + 7 + 0 = 39.5 \text{ hours}
\]
Step 2: Determine Regular and Overtime Hours:
Malik worked a total of 39.5 hours which means there are no overtime hours since this is less than 40 hours.
\[
\text{Regular Hours} = 39.5 \text{ hours}
\]
\[
\text{Overtime Hours} = 0 \text{ hours}
\]
Step 3: Calculate Gross Pay:
Since there are no overtime hours:
\[
\text{Gross Pay} = 39.5 \times 8.20 = 323.90 \text{ dollars}
\]
### Week of 3/17:
Let's calculate Malik's total hours for this week.
Hours worked per day:
- Monday (M): 8 hours
- Tuesday (T): 8.5 hours
- Wednesday (W): 9 hours
- Thursday (Th): 13 hours
- Friday (F): 4.5 hours
- Saturday (S): 4 hours
Step 1: Calculate Total Hours Worked:
\[
8 + 8.5 + 9 + 13 + 4.5 + 4 = 47 \text{ hours}
\]
Step 2: Determine Regular and Overtime Hours:
Malik worked 47 hours, which includes 40 regular hours and 7 overtime hours.
\[
\text{Regular Hours} = 40 \text{ hours}
\]
\[
\text{Overtime Hours} = 47 - 40 = 7 \text{ hours}
\]
Step 3: Calculate Gross Pay:
Gross Pay is calculated as follows:
\[
\text{Pay for Regular Hours} = 40 \times 8.20 = 328 \text{ dollars}
\]
\[
\text{Pay for Overtime Hours} = 7 \times (8.20 \times 1.5) = 7 \times 12.3 = 86.1 \text{ dollars}
\]
\[
\text{Gross Pay} = 328 + 86.1 = 414.1 \text{ dollars}
\]
### Summary of Results
For the week of 3/10:
- Total Hours Worked: \( 39.5 \)
- Gross Pay: \( \$[/tex] 323.90 \)
For the week of 3/17:
- Total Hours Worked: [tex]\( 47 \)[/tex]
- Gross Pay: [tex]\( \$ 414.10 \)[/tex]
