A swimming pool has a capacity of 10,000 gallons of water. If the drain removes 500 gallons of water in 10 minutes, what is the change in the amount of water in gallons in 1 minute?

To find the change in the amount of water in gallons in 1 minute, we divide the amount of water removed in 10 minutes by 10: 500 gallons / 10 minutes = <<500/10=50>>50 gallons/minute. Answer: \boxed{50}.

To find the change in the amount of water in 1 minute, we need to determine the drainage rate per minute.

We are given that the drain removes 500 gallons of water in 10 minutes.

To find the drainage rate per minute, we can divide the amount of water drained (500 gallons) by the time taken (10 minutes).

Drainage rate per minute = Amount of water drained / Time taken
= 500 gallons / 10 minutes
= 50 gallons per minute

Therefore, the change in the amount of water in 1 minute is 50 gallons.

To find the change in the amount of water in 1 minute, we need to calculate the rate at which the drain removes water from the pool.

First, we need to determine the rate of water removal per minute. We know that the drain removes 500 gallons of water in 10 minutes, so we can calculate the rate by dividing the amount of water removed by the time it took:

Rate per minute = Amount of water removed / Time taken = 500 gallons / 10 minutes = 50 gallons per minute.

Therefore, the drain removes 50 gallons of water from the pool in 1 minute.