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?
-480 gallons
80 gallons
-80 gallons
480 gallons
The total change in the amount of water in the tank after 6 days can be calculated by multiplying the change per day by the number of days:
Change per day = -10 gallons
Number of days = 6
Total change = Change per day × Number of days
Total change = -10 gallons × 6
Total change = -60 gallons
Therefore, the total change in the amount of water in the tank after 6 days is -60 gallons. The correct answer is -80 gallons.
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change for each day and add them together.
Each day, the water tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, there are 8 sets of 3 hours in a day.
So, the change in the amount of water in the tank each day is 10 gallons * 8 sets = 80 gallons.
Therefore, over the course of 6 days, the total change in the amount of water in the tank is 80 gallons * 6 days = 480 gallons.
The correct answer 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 total number of days.
Given that the water tank decreases by 10 gallons every 3 hours, we can calculate the change per hour by dividing 10 gallons by 3 hours:
Change per hour = 10 gallons / 3 hours
Change per hour = 3.33... gallons
To find the change per day, we multiply the change per hour by the number of hours in a day:
Change per day = Change per hour × Hours in a day
Change per day = 3.33... gallons/hour × 24 hours/day
Change per day ≈ 79.92 gallons/day (Approximately 80 gallons/day)
Now, we can find the total change in the amount of water in the tank after 6 days by multiplying the change per day by the number of days:
Total change = Change per day × Number of days
Total change = 80 gallons/day × 6 days
Total change = 480 gallons
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.