Final answer:
To determine the percentage of the bathtub that will be filled after 9 minutes, we multiply the flow rate of 3 gallons per minute by 9 minutes to find that 27 gallons of water are in the tub. Dividing this by the bathtub's 90-gallon capacity, we find that 30% of the bathtub will be filled after 9 minutes.
Step-by-step explanation:
To determine what percentage of the bathtub will be filled after 9 minutes, we need to perform a couple of straightforward calculations. First, we find the volume of water that has flown from the faucet after 9 minutes by multiplying the flow rate by the time:
Volume after 9 minutes = Flow rate × Time
Volume after 9 minutes = 3 gallons/minute × 9 minutes
Volume after 9 minutes = 27 gallons
Next, we need to calculate what percentage this volume represents of the bathtub's total capacity. We do this by dividing the volume after 9 minutes by the total capacity and then multiplying by 100 to convert it to a percentage:
Percentage filled = (Volume after 9 minutes / Total capacity) × 100
Percentage filled = (27 gallons / 90 gallons) × 100
Percentage filled = 0.3 × 100
Percentage filled = 30%
Therefore, the correct answer is (a) 30% of the bathtub will be filled after 9 minutes.