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)
Water (liters)
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
Umm... I think I'll need some more info on how much amount of time and water(liters)
I'm confused-
To find the answer to these questions, we need to analyze the given table that shows the amount of water in the vat at different times.
(a) To determine how much water was in the vat when the workers started draining it, we need to look for the time when the amount of water is at its maximum, indicating the initial amount. Identify the highest value in the "Water (liters)" column, corresponding to a specific time. This highest value represents the amount of water in the vat when the workers started draining it.
(b) Based on the statement provided, "As time increases, the amount of water in the vat decreases," we can infer that the water is being drained at a constant rate. The rate at which the amount of water in the vat is decreasing can be calculated by finding the slope of the line representing the water level over time. Choose two points on the line (time and water values) and calculate the difference in water divided by the difference in time, giving us the rate of water decrease in liters per minute.
The option "At what rate is the amount of water in the vat decreasing?" implies that the statement "As time increases, the amount of water in the vat decreases" is correct.
The option "At what rate is the amount of water in the vat increasing?" is not applicable since the given statement does not state that the amount of water is increasing.
By analyzing the table and applying these methods, you can find the answers to the questions.