Solve the following problem using division. Dominic was paid $378.75 for working 36.4 hours last week. How much money has he made so far this week if he has worked 22.5 hours? Find the hourly rate first, rounded to the nearest cent. Make sure the final answer is also rounded to the nearest cent.(1 point) Responses

Answer 1

To find Dominic's hourly rate, we first divide the total amount he earned by the total hours he worked.

1. Calculate the hourly rate: \[ \text{Hourly Rate} = \frac{\text{Total Earnings}}{\text{Total Hours Worked}} = \frac{378.75}{36.4} \]

   Performing the division: \[ \text{Hourly Rate} \approx 10.3972 \]

   Rounding to the nearest cent: \[ \text{Hourly Rate} \approx 10.40 \]

2. Now, to find out how much money he has made so far this week for working 22.5 hours: \[ \text{Earnings This Week} = \text{Hourly Rate} \times \text{Hours Worked} = 10.40 \times 22.5 \]

   Calculating the earnings: \[ \text{Earnings This Week} \approx 234.00 \]

Thus, Dominic made approximately $234.00 this week.