Questions: Method 1: Unit Rate 1. Tim earns 213 in gross earnings for working 12 hours this week. How much will he earn if he works full time (40 hours)?

Transcript text: \begin{tabular}{l|l|} & \multicolumn{1}{|c|}{ Method 1: Unit Rate } \\ \hline 1. Tim earns & \\ \$213 in gross & \\ earnings for \\ working 12 \\ hours this \\ week. How \\ much will he \\ earn if he \\ works full time \\ (40 hours)? \\ & \\ & \end{tabular}

Solution

Solution Steps

To solve this problem, we need to determine Tim's hourly wage and then use that to calculate his earnings for a full 40-hour work week.

Calculate Tim's hourly wage by dividing his total earnings by the number of hours he worked.
Multiply the hourly wage by 40 to find out how much he will earn for a full-time 40-hour work week.

Step 1: Calculate Hourly Wage

To find Tim's hourly wage, we use the formula: \[ \text{Hourly Wage} = \frac{\text{Gross Earnings}}{\text{Hours Worked}} = \frac{213}{12} = 17.75 \]

Step 2: Calculate Full-Time Earnings

Next, we calculate how much Tim will earn if he works full time (40 hours): \[ \text{Full-Time Earnings} = \text{Hourly Wage} \times \text{Full-Time Hours} = 17.75 \times 40 = 710.0 \]