A water tank decreases by 10 gallons every three hours every day. What is the total change in the amount of water in the tank after six days
After 1 day, the water tank decreases by 10 gallons every 3 hours, which means that after 24 hours (1 day * 24 hours/day), the water tank decreases by (24 hours / 3 hours) * 10 gallons/hour = <<24/3*10=80>>80 gallons.
After 6 days, the total change in the amount of water in the tank is 6 days * 80 gallons/day = <<6*80=480>>480 gallons. Answer: \boxed{480}.
To find the total change in the amount of water in the tank after six days, we need to calculate the change in the amount of water in the tank for each day and then sum them up.
Given that the water tank decreases by 10 gallons every three hours, we can calculate the change in the amount of water in the tank for a single day as follows:
- There are 24 hours in a day, so the water tank decreases by 10 gallons every 24/3 = 8 intervals of 3 hours.
- So, the change in the amount of water in the tank for a single day is 10 gallons * 8 intervals = 80 gallons.
Now, to find the total change in the amount of water in the tank after six days, we multiply the daily change by the number of days:
Total change = 80 gallons * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after six days is 480 gallons.
To calculate the total change in the amount of water in the tank after six days, we first need to determine the change in water level per day.
Given that the water tank decreases by 10 gallons every three hours, we can break down this information to find the change in gallons per hour: 10 gallons / 3 hours = 3.33... (approximately).
Since there are 24 hours in a day, we can multiply the change per hour by 24 to find the change per day: 3.33... gallons/hour * 24 hours = 79.99... (approximately 80 gallons per day).
Now, to find the total change after six days, we multiply the change per day by the number of days: 80 gallons/day * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after six days is 480 gallons.