To determine the total change in the amount of water in the tank after 6 days, we first need to calculate how much water decreases in a single day.
The tank decreases by 10 gallons every 3 hours. In a day (24 hours), we can calculate how many 3-hour periods are in a day:
\[ \frac{24 \text{ hours}}{3 \text{ hours}} = 8 \text{ periods} \]
Now, we can calculate the total decrease in gallons for one day:
\[ 10 \text{ gallons} \times 8 = 80 \text{ gallons} \]
Next, we calculate the total decrease over 6 days:
\[ 80 \text{ gallons/day} \times 6 \text{ days} = 480 \text{ gallons} \]
Since the water is decreasing, we express this as a negative change:
\[ \text{Total change} = -480 \text{ gallons} \]
Therefore, the answer is:
\(-480\) gallons.
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