QUESTION IMAGE
Question
- challenge the accounting department recycles 396 pounds of paper in 30 days. the human resource department recycles 186 pounds of paper in two weeks. the computer resources department recycles 92 pounds of paper in a week. which department recycles the most paper per day? why do you need to use exact calculations? explain your reasoning.
Step1: Find Accounting's daily rate
Divide total pounds by days:
$\frac{396}{30} = 13.2$ pounds/day
Step2: Find HR's daily rate
Two weeks = 14 days. Divide total pounds by days:
$\frac{186}{14} \approx 13.29$ pounds/day
Step3: Find Computer's daily rate
One week = 7 days. Divide total pounds by days:
$\frac{92}{7} \approx 13.14$ pounds/day
Step4: Compare daily rates
Compare $13.29$, $13.2$, and $13.14$.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
The human resource department recycles the most paper per day.
Exact calculations are needed because the daily rates are very close to each other. Approximating too early could lead to an incorrect comparison (e.g., rounding all values to 13 pounds/day would hide the small difference between the departments, making it impossible to identify the highest rate).