Solve the problem.The line graph represents the gallons of water in a swimming pool after x hours. There is a pump that can either add or remove water from the pool. Find the slope of each line segment, and interpret each slope as a rate of change. Describe what happens to the amount of water in the pool.

Question

A. Initially the pool contains 100 gallons of water.. The pump adds water at a rate of 150 gallons per hour for two hours until there are 400 gallons of water in the pool. For the next hour the amount of water does not change. Then the pump adds water at a rate of 25 gallons per hour for two hours, at which time the pool contains 400 gallons of water.
B. Initially the pool is empty. The pump adds water at a rate of 150 gallons per hour for two hours until there are 300 gallons of water in the pool. For the next hour the amount of water does not change. Then the pump adds water at a rate of 25 gallons per hour for four hours, at which time the pool contains 400 gallons of water.
C. Initially the pool is empty. The pump adds water at a rate of 150 gallons per hour for two hours until there are 300 gallons of water in the pool. For the next hour the amount of water does not change. Then the pump removes water at a rate of 25 gallons per hour for four hours, at which time the pool is empty.
D. Initially the pool is empty. The pump adds water at a rate of 300 gallons per hour for two hours until there are 400 gallons of water in the pool. For the next hour the amount of water does not change. Then the pump adds water at a rate of 100 gallons per hour for four hours, at which time the pool contains 700 gallons of water.

Answer 1

Answer: B