To determine the total change in the amount of water in the tank after 6 days, we first calculate how much water the tank loses in one day.
The tank decreases by 10 gallons every 3 hours. There are 24 hours in a day, so the number of 3-hour intervals in one day is:
\[ \frac{24 \text{ hours}}{3 \text{ hours/interval}} = 8 \text{ intervals} \]
If the tank loses 10 gallons in each interval, the total loss in one day is:
\[ 10 \text{ gallons/interval} \times 8 \text{ intervals} = 80 \text{ gallons} \]
Next, we need to calculate the total loss over 6 days:
\[ 80 \text{ gallons/day} \times 6 \text{ days} = 480 \text{ gallons} \]
Since the tank is losing water, the total change is a decrease, which can be expressed as:
\[ -480 \text{ gallons} \]
Thus, the correct answer is:
−480 gallons
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