Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive, and when water is moving from a tank the flow rate is negative. Each tank begins with 250 gallons of water. The flow rate for the large tank is recorded as –6 gallons per minute. After a period of 25 minutes, which integer represents the amount of water left in the large tank?

–400
–100
100
400

The large tank has a flow rate of -6 gallons per minute, which means that 6 gallons per minute are being removed from the tank. After a period of 25 minutes, the amount of water removed from the large tank would be 25 * 6 = 150 gallons.

Starting with 250 gallons and removing 150 gallons, the amount of water left in the large tank would be 250 - 150 = 100 gallons.

Therefore, the integer that represents the amount of water left in the large tank after 25 minutes is 100. Therefore, the correct answer is 100.