Final answer:
To find the initial volume of a water tank that drains at 30 gallons per minute over 22.5 minutes, we multiply the rate by the time (30 x 22.5) which equals 675 gallons, therefore the answer is option D, 675 gallons.
Step-by-step explanation:
The question asks us to calculate the initial volume of a water tank based on its drainage rate and the time taken to empty it. The tank drains at 30 gallons per minute and takes 22.5 minutes to drain completely. To find out how many gallons the tank held, we can use the formula for the volume of water drained (V) which is the product of the drainage rate (r) and the time (t), i.e., V = r × t.
- Multiply the drainage rate by the time to get the total volume drained: 30 gallons/minute × 22.5 minutes.
- Doing this calculation: 30 × 22.5 = 675 gallons.
Therefore, the tank held 675 gallons, which is option D.