To find the total earnings, given an hourly rate of [tex]$7.825 and the total hours worked of 32.125, here's how you can break down the solution step-by-step:
1. Hourly Rate: \( \$[/tex]7.825 \)
2. Hours Worked: 32.125 hours
### Step-by-Step Solution
Step 1: Multiply the hourly rate by the number of hours worked.
[tex]\[
\text{Total Earnings} = \text{Hourly Rate} \times \text{Hours Worked}
\][/tex]
[tex]\[
\text{Total Earnings} = 7.825 \times 32.125
\][/tex]
Step 2: Calculate the product.
[tex]\[
7.825 \times 32.125 = 251.378125
\][/tex]
Step 3: Round the total earnings to the nearest cent.
Since we want the total earnings rounded to the nearest cent (two decimal places), we look at the third decimal place to determine if we round up or down.
[tex]\[
251.378125 \rightarrow 251.38 \, (\text{since the third decimal place } 8 \text{ is 5 or more, we round up})
\][/tex]
Therefore, the total earnings, rounded to the nearest cent, is [tex]\( \$251.38 \)[/tex].
