To determine the total change in the amount of water in the tank after 6 days, we can start by calculating how much water the tank decreases each day.
The tank decreases by 10 gallons every 3 hours. In a day, there are 24 hours.
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First, we find how many 3-hour periods are in a day: \[ \text{Number of 3-hour periods in a day} = \frac{24 \text{ hours}}{3 \text{ hours/period}} = 8 \text{ periods} \]
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Now, we can calculate the total decrease in gallons per day: \[ \text{Decrease per day} = 10 \text{ gallons/period} \times 8 \text{ periods} = 80 \text{ gallons} \]
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Next, we find the total decrease over 6 days: \[ \text{Total decrease after 6 days} = 80 \text{ gallons/day} \times 6 \text{ days} = 480 \text{ gallons} \]
Therefore, the total change in the amount of water in the tank after 6 days is: \[ \text{-480 gallons} \]
So the correct answer is -480 gallons.