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Owners of a recreation area are adding water to a pond. The graph below shows the amount of water in the pond (in liters) versus the amount of time that water is added (in hours). Use the graph to answer the questions.

Owners of a recreation area are adding water to a pond. The graph below shows the-example-1
Owners of a recreation area are adding water to a pond. The graph below shows the-example-1
Owners of a recreation area are adding water to a pond. The graph below shows the-example-2
User CptRobby
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1 Answer

3 votes

Answer:

(a)100 liters

(b)400 liters

(c)300 liters

(d)No, because the line does not pass through (0,0).

Step-by-step explanation:

(a)From the graph

When the time (in hours) = 0

The volume of water in the pond = 100 liters

Therefore, at 0 hours, there were 100 liters of water in the pond.

(b)From the graph

When the time (in hours) = 1

The volume of water in the pond = 400 liters

Therefore, at 1 hour, there were 400 liters of water in the pond.

(c)To find the rate at which the water increases, we use our result from parts (a) and (b).

At 0 hour, the volume of water in the pond= 100 liters

At 1 hour, the volume of water in the pond = 400 liters

Change in the volume after 1 hour = 400 - 100 =300 liters

The water increases by 300 liters for each hour that water is added.

(d)We see that the results in parts (b) and (c) are not the same.

This is because the line does not pass through (0,0).

User Greatwitenorth
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