Final answer:
Petter is filling the swimming pool at a rate of 196 gallons per minute, calculated by dividing the increase in water volume by the time taken for the increase.
Step-by-step explanation:
To determine the rate at which Petter is filling the swimming pool, we need to calculate the difference in the volume of water and divide it by the difference in time. Between 7 minutes and 12 minutes, the pool goes from containing 1372 gallons to 2352 gallons. The difference in volume is 2352 gallons - 1372 gallons = 980 gallons. The time difference is 12 minutes - 7 minutes = 5 minutes. We then divide the volume difference by the time difference to find the rate:
980 gallons ÷ 5 minutes = 196 gallons per minute
Therefore, Petter is filling the swimming pool at a rate of 196 gallons per minute, which corresponds to option A.