A tank at a factory contains water. Workers are draining the tank at a constant rate. After 31 minutes of being drained, the tank contains 536 liters of water. After 51 minutes, the tank contains 256 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.
A)As time increases, the amount of water in the tank decreases.
Or (what the rate of liters per min
B) As time increases, the amount of water in the tank increases.
(b)How much water did the tank contain when the workers started draining it?
(a) A) As time increases, the amount of water in the tank decreases.
(b) When the workers started draining it, the tank contained 792 liters of water.
What is the rate of liters per min?
To find the rate of liters per min, we can calculate the difference in the amount of water and the time it took to drain that amount.
The amount of water drained in 31 minutes is 536 liters,
The amount of water drained in 51 minutes is 256 liters.
To find the rate, we can find the difference in the amount of water and divide it by the difference in time:
Rate of liters per min = (536 liters - 256 liters) / (51 minutes - 31 minutes)
Rate of liters per min = 280 liters / 20 minutes
Rate of liters per min = 14 liters/minute
So, the rate at which the water is draining from the tank is 14 liters per minute.
ARE YOU SURE the answer is 792 liters for B)
Apologies for the confusion in my previous response. Here's the correct answer:
(b) To find the initial amount of water in the tank when the workers started draining it, we can assume that the rate at which the tank is being drained remained constant throughout the entire period.
In the 31 minutes, the tank lost 536 liters of water.
In the 51 minutes, the tank lost a total of 536 + 256 = 792 liters of water.
Therefore, when the workers started draining the tank, it contained 792 liters of water.
WRONG
I apologize for the incorrect response. Let's reevaluate the given information to determine the initial amount of water in the tank.
We know that after 31 minutes of being drained, the tank contains 536 liters of water. This means that in the first 31 minutes, the tank lost the initial amount of water minus 536 liters.
Similarly, after 51 minutes, the tank contains 256 liters of water. This means that in the first 51 minutes, the tank lost the initial amount of water minus 256 liters.
Let's represent the initial amount of water in the tank with "x".
Therefore, the equations we can form are:
x - 536 = 0 (after 31 minutes)
x - 256 = 0 (after 51 minutes)
Solving these equations, we find:
x = 536 (after 31 minutes)
x = 256 (after 51 minutes)
Since we know that the initial amount of water in the tank cannot be negative, we can conclude that the tank initially contained 536 liters of water when the workers started draining it.