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Calculate the pay for the following day of a weekly time card given a wage of [tex]\$11.50[/tex] per hour.

\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{4}{|c|}{Time Card} \\
\hline
\multicolumn{2}{|c|}{Morning} & \multicolumn{2}{c|}{Afternoon} \\
\hline
In & Out & In & Out \\
\hline
08:00 & 12:00 & 12:45 & 17:30 \\
\hline
\end{tabular}

\[ \text{pay} = \$[?] \]

Round to the nearest cent if necessary.

Sagot :

GinnyAnsweridn
Let's determine the total pay for the given day, following a step-by-step approach.

### Step 1: Define the hourly wage
The hourly wage is [tex]\( \$11.50 \)[/tex] per hour.

### Step 2: Extract the time periods
From the given time card:
- Morning in: 08:00
- Morning out: 12:00
- Afternoon in: 12:45
- Afternoon out: 17:30

### Step 3: Convert the times to hours
- Morning in: 8:00 AM is [tex]\( 8.0 \)[/tex] hours.
- Morning out: 12:00 PM is [tex]\( 12.0 \)[/tex] hours.
- Afternoon in: 12:45 PM is [tex]\( 12 + \frac{45}{60} = 12.75 \)[/tex] hours.
- Afternoon out: 5:30 PM is [tex]\( 17 + \frac{30}{60} = 17.5 \)[/tex] hours.

### Step 4: Calculate the hours worked in each period
- Morning hours: [tex]\( 12.0 - 8.0 = 4.0 \)[/tex] hours.
- Afternoon hours: [tex]\( 17.5 - 12.75 = 4.75 \)[/tex] hours.

### Step 5: Calculate total hours worked in the day
- Total hours: [tex]\( 4.0 + 4.75 = 8.75 \)[/tex] hours.

### Step 6: Calculate total pay for the day
- Total pay: [tex]\( 8.75 \)[/tex] hours [tex]\(\times\)[/tex] [tex]\( \$11.50 \)[/tex] per hour = [tex]\( \$100.625 \)[/tex].
- Rounded to the nearest cent: [tex]\( \$100.63 \)[/tex].

### Conclusion
The pay for the given day is [tex]\( \$100.63 \)[/tex].
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