A tank at a factory contains water. Workers are draining the tank at a constant rate. After 32 minutes of being drained, the tank contains 484 liters of water. After 54 minutes, the tank contains 198 liters of water.

Question

(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
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?

Answer 1

(a) The statement that best describes how the time and the amount of water in the tank are related is A. As time increases, the amount of water in the tank decreases.

(b) When the workers started draining the tank, it contained 484 liters of water.

Answer 2

Thank you. But for part a) what is the liters per min?

Answer 3

To determine the liters per minute at which the tank is being drained, we can calculate the rate of change in the amount of water in the tank.

We are given two data points:
- After 32 minutes, the tank contains 484 liters of water.
- After 54 minutes, the tank contains 198 liters of water.

To find the rate of change, we can subtract the initial amount from the final amount and divide by the time difference:

Rate of change = (final amount - initial amount) / time difference

Rate of change = (198 liters - 484 liters) / (54 minutes - 32 minutes)

Rate of change = (-286 liters) / (22 minutes)

Rate of change ≈ -13 liters/minute

Therefore, the tank is being drained at a rate of approximately 13 liters per minute.