To determine the pay for the given day, we'll follow these steps:
1. Calculate the hours worked in the morning:
- Morning Start Time: 08:00
- Morning End Time: 11:45
[tex]\(11:45\)[/tex] can be converted into a decimal form as follows:
- 45 minutes is [tex]\(\frac{45}{60} = 0.75\)[/tex] hours.
Therefore, [tex]\(11:45 = 11.75\)[/tex] hours.
The hours worked in the morning:
[tex]\[
11.75 \, \text{hours} - 8.00 \, \text{hours} = 3.75 \, \text{hours}
\][/tex]
2. Calculate the hours worked in the afternoon:
- Afternoon Start Time: 12:45
- Afternoon End Time: 17:15
[tex]\(12:45\)[/tex] can be converted into a decimal form as follows:
- 45 minutes is [tex]\(\frac{45}{60} = 0.75\)[/tex] hours.
Therefore, [tex]\(12:45 = 12.75\)[/tex] hours.
[tex]\(17:15\)[/tex] can be converted into a decimal form as follows:
- 15 minutes is [tex]\(\frac{15}{60} = 0.25\)[/tex] hours.
Therefore, [tex]\(17:15 = 17.25\)[/tex] hours.
The hours worked in the afternoon:
[tex]\[
17.25 \, \text{hours} - 12.75 \, \text{hours} = 4.50 \, \text{hours}
\][/tex]
3. Calculate the total hours worked:
[tex]\[
\text{Total Hours} = \text{Morning Hours} + \text{Afternoon Hours}
\][/tex]
[tex]\[
= 3.75 \, \text{hours} + 4.50 \, \text{hours} = 8.25 \, \text{hours}
\][/tex]
4. Calculate the pay for the day:
- Wage per hour: [tex]\(\$11.50\)[/tex]
[tex]\[
\text{Pay} = \text{Total Hours} \times \text{Wage per hour}
\][/tex]
[tex]\[
= 8.25 \, \text{hours} \times 11.50 \, \text{\$/hour} = \$94.875
\][/tex]
Rounding to the nearest cent:
[tex]\[
\$94.875 \approx \$94.88
\][/tex]
Hence, the pay for the day is [tex]\(\$94.88\)[/tex].
