To find the change in the amount of water in the tank in 1 minute, we need to calculate how much water is removed by the pump in that time.
We know that the pump removes 250 gallons of water in 5 minutes. To find the amount removed in 1 minute, we can divide the total amount removed by the number of minutes:
\[ \text{Water removed in 1 minute} = \frac{250 \text{ gallons}}{5 \text{ minutes}} = 50 \text{ gallons/minute} \]
Since the water is being removed from the tank, the change in the amount of water in the tank per minute is negative:
\[ \text{Change in amount of water in 1 minute} = -50 \text{ gallons} \]
So, the answer is indeed \(-50\) gallons.