Final answer:
The unit rate at which the aquarium is filled is calculated by dividing the time taken (6 minutes) by the depth filled (2/5 meters) which results in a unit rate of 15 minutes per meter.
Step-by-step explanation:
The question asks to calculate the unit rate of filling an aquarium in minutes per meter. Given that it takes 6 minutes to fill the aquarium to a depth of 2/5 meters, we can determine the rate by dividing the time taken by the depth filled. We calculate the unit rate as follows:
- Time taken = 6 minutes
- Depth filled = 2/5 meters
- Unit rate = Time taken ÷ Depth filled
- Unit rate = 6 minutes ÷ (2/5 meters)
- Unit rate = (6 ÷ 2/5) minutes per meter
- Unit rate = (6 × 5/2) minutes per meter
- Unit rate = 15 minutes per meter
Therefore, the unit rate at which the aquarium is filled is 15 minutes per meter.