To find the total change in the amount of water in the tank after six days, we first need to determine how much water decreases in a single day.
Given that the water tank decreases by 10 gallons every 3 hours, we can calculate the daily change in the following way:
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Calculate the number of 3-hour periods in a day:
- There are 24 hours in a day.
- Number of 3-hour periods in a day = \( \frac{24 \text{ hours}}{3 \text{ hours/period}} = 8 \) periods.
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Calculate the total decrease in a day:
- Total decrease in gallons per day = \( 10 \text{ gallons/period} \times 8 \text{ periods} = 80 \text{ gallons} \).
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Calculate the total decrease after six days:
- Total decrease in gallons 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 six days is 480 gallons.