To find the total change in the amount of water in the tank over 6 days, we need to first calculate the rate of decrease per day and then multiply this by the number of days.
- The tank decreases by 10 gallons every 3 hours.
- There are 24 hours in a day.
Now, let's calculate how many 3-hour periods are in a day: \[ \text{Number of 3-hour periods in a day} = \frac{24 \text{ hours}}{3 \text{ hours/period}} = 8 \text{ periods} \]
Next, we calculate the daily decrease in gallons: \[ \text{Daily decrease} = 10 \text{ gallons/period} \times 8 \text{ periods} = 80 \text{ gallons/day} \]
Now, we can calculate the total decrease over 6 days: \[ \text{Total decrease in 6 days} = 80 \text{ gallons/day} \times 6 \text{ days} = 480 \text{ gallons} \]
Therefore, the total change in the amount of water in the tank over 6 days is 480 gallons.
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