A tank at a factory contains water. Workers are draining the tank at a constant rate. After 23 minutes of being drained, the tank contains 342 liters of water. After 36 minutes, the tank contains 134 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.Theamountofwaterinthetankdecreasesatarateoflitersperminute. As time increases, the amount of water in the tank increases.Theamountofwaterinthetankincreasesatarateoflitersperminute. (b)How much water did the tank contain when the workers started draining it?liters

A rectangular water tank measures 2.5m long, 2.4m wide and 2.1m high. The tank contained some water up to a height of 1.21m.An inlet pipe was opened and water let to flow into the tank at a rate of 8 litres per minute. After one hour, a drain pipe was opened and water allowed to flow out of the tank at a rate of 6 litres per minute.Calculatei. The height of water in tank after 3 hours.ii. The total time taken to fill up the tank.

Select the correct answerThere are two water tanks A and B. A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160….., in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, and so on). If tank B is 1/16 filled after 17 hours, what is the total duration required to fill it completely?radio_button_unchecked4 hoursradio_button_unchecked21 hoursradio_button_unchecked22 hoursradio_button_unchecked24 hours

At a factory workers are draining a large vat containing water. The water is being drained at a constant rate. The table below shows the amount of water in the vat after different amounts of time.Time (minutes) 15 20 25 30Water (liters) 620 560 500 440Answer the following questions.(a)Choose the statement that best describes how the time and the amount of water in the vat are related. Then give the value requested.As time increases, the amount of water in the vat decreases.At what rate is the amount of water in the vat decreasing?litersperminuteAs time increases, the amount of water in the vat increases.At what rate is the amount of water in the vat increasing?litersperminute(b)How much water was in the vat when the workers started draining it?liters

A tank contains 19 liters of water to start, 4 liters of water flow into the tank while 3 liters of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in liters) in the tank at time t in minutes. =0A(0)= Solve the differential equation: A(t)= Note: use A,A′, etc instead of A(t), dAdt (t) in your answers. After you set up your differential equation you will have to set it equal to zero so that WeBWorK will understand your answer, do this in a way so that the highest order derivative has a positive coefficient.

Two pools are being filled with water. To start, the first pool had 992 liters of water and the second pool was empty. Water is being added to the first pool at a rate of 16 liters per minute. Water is being added to the second pool at a rate of 48 liters per minute.Let x be the number of minutes water has been added.(a)For each pool, write an expression for the amount of water in the pool after x minutes.Amountofwaterinthefirstpool(in=liters)Amountofwaterinthesecondpool(in=liters)(b)Write an equation to show when the two pools would have the same amount of water.