Answer :
The carpenter worked approximately d) 38.4 hours.
- Determine the hourly rate
The carpenter charges $35 for 3 hours of work. To find the hourly rate, we divide $35 by 3:
Hourly rate = 35 / 3 ≈ 11.67 (approximately).
So, the carpenter charges approximately $11.67 per hour.
- Set up the equation
We know the total cost of the job is $448. Let h represent the number of hours the carpenter worked. Using the hourly rate we calculated, we can set up the following equation:
11.67 × h = 448.
- Solve for h
To find h, divide both sides of the equation by 11.67:
h = 448 / 11.67 ≈ 38.4.