A tank at a factory contains water. Workers are filling the tank at a constant rate. After 25 minutes of being filled, the tank contains 527 liters of water. After 35 minutes, the tank contains 717 liters of water.
(a)Choose the statement that best describes how the time and the amount of water in the tank are related. Then fill in the blank.
As time increases, the amount of water in the tank decreases.
As time increases, the amount of water in the tank increases.
(b)How much water did the tank contain when the workers started filling it?
(b) To determine how much water the tank contained when the workers started filling it, we need to find the starting point.
We can use the given information to calculate the rate at which the tank is being filled.
From the given information, we know that in 25 minutes, the tank contains 527 liters of water.
So, the rate at which the tank is being filled is 527 liters / 25 minutes = 21.08 liters per minute.
Now, we can calculate how much water the tank contained when the workers started filling it.
To do this, we can find the amount of water that is added to the tank every minute and then subtract it from the amount of water in the tank at 25 minutes.
Using the rate of filling, we can calculate the amount of water added each minute:
21.08 liters/minute * 10 minutes = 210.8 liters.
Now, subtracting 210.8 liters from 527 liters, we get:
527 liters - 210.8 liters = 316.2 liters.
Therefore, the tank contained 316.2 liters of water when the workers started filling it.