Question

problem 4:
the graph show the amount of water
in each container as the water in
container a is poured into container b

which statement is true?
the amount of water in container a
decreased at a constant rate.

initially, there was more water in
container b than in container a.
the amount of water in container a
increased each minute.

initially: at the start

Explanation:

Step1: Analyze Container A's graph

The graph for Container A is a straight line with a negative slope (since water is being poured out). A straight - line graph with a constant slope means the rate of change (decrease in water volume) is constant. So the amount of water in Container A decreases at a constant rate.

Step2: Analyze proportionality

For a relationship to be proportional, the graph should pass through the origin \((0,0)\). The graph of Container A starts at a non - zero volume (when time \(t = 0\)), so the relationship between time and volume of water in Container A is not proportional.

Step3: Analyze initial volumes

At \(t=0\) (initially), the \(y\) - intercept of Container A's graph is higher than that of Container B's graph. This means initially, there was more water in Container A than in Container B.

Step4: Analyze change in volume of A

Since water is being poured out of Container A into Container B, the volume of water in Container A should decrease, not increase, over time.

Answer:

The amount of water in Container A decreased at a constant rate.