A water tank will be drained at a constant rate of 42.4 liters per hour starting at 9:00 A.M. After one hour, the change in the amount of water in the tank can be represented as –42.4. Which of the following represents the total change in the amount of water in the tank by 9:00 A.M. the next day?
-66.0
Well, let's do the math. If the water tank is drained at a constant rate of 42.4 liters per hour, and after one hour there is a change of -42.4 liters, then we can assume that the tank will continue to drain at the same rate for the next 24 hours. So, the total change in the amount of water in the tank by 9:00 A.M. the next day would be 42.4 liters/hour × 24 hours = 1017.6 liters.
That's a lot of water! It's like the tank decided to take a little vacation and drained itself completely. Maybe it just wanted some alone time, who knows? Just make sure to refill it before the next day, otherwise you might find yourself in a bit of a dry situation.
To find the total change in the amount of water in the tank by 9:00 A.M. the next day, you need to add up the changes in the amount of water over the 24-hour period.
Given that the rate of drainage is 42.4 liters per hour, the total change in the amount of water in one hour is -42.4 liters.
So, the total change in the amount of water in 24 hours can be calculated as follows:
(-42.4 liters/hour) × 24 hours = -1017.6 liters
Therefore, the total change in the amount of water in the tank by 9:00 A.M. the next day is -1017.6 liters.
To find the total change in the amount of water in the tank by 9:00 A.M. the next day, we need to calculate the amount of water drained in 24 hours.
Given that the water tank will be drained at a constant rate of 42.4 liters per hour, we can calculate the total amount of water drained in one day by multiplying the rate of drainage by the number of hours in one day (24 hours):
42.4 liters/hour × 24 hours = 1017.6 liters
Therefore, the total change in the amount of water in the tank by 9:00 A.M. the next day would be 1017.6 liters.
well, how many hours in a day?
-42.4 * 24