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 30
Water (liters) 620 560 500 440
Answer the following questions.

(a)How much water was in the vat when the workers started draining it?

(b)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?
liters per minute
As time increases, the amount of water in the vat increases.
At what rate is the amount of water in the vat increasing ?
liters per minute

If you look carefully, you can see that the vat loses 60L every 5 minutes, or 12 L/min

(a) at t=0, it had 3*60 = 180 L more, or 800L
(b) v = 800-12t
so I think you can now answer the last question.

Alonzo is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different amounts of time.

(a) How much water was in the vat when the workers started draining it?

That depends on whether the workers remembered to actually fill the vat with water before starting to drain it. If they forgot to fill it, then the answer would be zero. But let's assume they did their job properly and filled it. Therefore, the answer is stated in the table as 620 liters.

(b) Choose the statement that best describes how the time and the amount of water in the vat are related. Then give the value requested.
The statement that best describes the relationship between time and the amount of water in the vat is: As time increases, the amount of water in the vat decreases.

So, the rate at which the amount of water in the vat is decreasing is liters per minute.

Please note that the provided data is not enough to determine the exact rate at which the water is being drained.

(a) To find out how much water was in the vat when the workers started draining it, we need to look at the given information at the initial time, which is not mentioned in the question. From the table, we can see that at 15 minutes, there were 620 liters of water in the vat. Therefore, the amount of water in the vat when the workers started draining it was 620 liters.

(b) From the given information, we can observe that as time increases, the amount of water in the vat decreases. Therefore, the statement "As time increases, the amount of water in the vat decreases" is the correct description.

To find the rate at which the amount of water in the vat is decreasing, we need to calculate the change in water per unit of time. From 15 to 20 minutes, the water decreased from 620 to 560 liters, which is a decrease of 60 liters in 5 minutes. Therefore, the rate at which the amount of water in the vat is decreasing is 60 liters per 5 minutes, which can be simplified to 12 liters per minute.

Do you need to write an essay for this?

Just letting you know- I'm, Pro-Truth-Efficient
and I'm going to announce this until the end of the week -_-
I changed my name. -: