A water tank decreases by 10 gallons every 3 hours every day. What is the total change in the amount of water in the tank after 6 days?(1 point) Responses −80 gallons negative 80 gallons 80 gallons
The water tank decreases by 10 gallons every 3 hours, which means it decreases by 10 gallons/3 hours * 8 hours/day = 80 gallons per day.
After 6 days, the total change in the amount of water in the tank is -80 gallons/day * 6 days = -480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is -480 gallons.
Answer: −480 gallons or negative 480 gallons.
To calculate the total change in the amount of water in the tank after 6 days, we need to find the change in the amount of water per day and multiply it by the number of days.
The tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, we can calculate the change in the amount of water per day:
Change per Hour = -10 gallons/3 hours = -10/3 gallons
Change per Day = (Change per Hour) * (hours per day) = (-10/3 gallons) * (24 hours) = -80 gallons
Now, we can calculate the total change in the amount of water in the tank after 6 days:
Total Change = (Change per Day) * (number of days) = (-80 gallons) * (6 days) = -480 gallons
Therefore, the total change in the amount of water in the tank after 6 days is -480 gallons.
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change per day and then multiply it by the number of days.
Given that the tank decreases by 10 gallons every 3 hours, we need to convert this rate to a daily rate. There are 24 hours in a day, so we can calculate the hourly change:
10 gallons / 3 hours = 3.33... gallons per hour (rounded to two decimal places)
Now, to find the daily change, we multiply the hourly change by the number of hours in a day:
3.33 gallons per hour * 24 hours = 79.92... gallons per day (rounded to two decimal places)
Since the change is a decrease, the total change in the amount of water in the tank after 6 days will be:
79.92 gallons per day * 6 days = 479.52 gallons (rounded to two decimal places)
As the tank decreases in volume, the change is negative. Therefore, the correct answer is "negative 480 gallons" or "-480 gallons".