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What is the rate of change and what does it mean in context?

What is the rate of change and what does it mean in context?-example-1
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User Dafeda
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Answer:

To find the rate of change, you'll want to determine how the amount of water is changing over time. In this case, you have data points at 2 minutes, 4 minutes, and 6 minutes.

Let's calculate the rate of change between each pair of data points:

From 2 minutes to 4 minutes:

Initial amount at 2 minutes = 60

Final amount at 4 minutes = 50

Change in amount = 50 - 60 = -10 (a decrease)

Change in time = 4 minutes - 2 minutes = 2 minutes

Rate of change = Change in amount / Change in time

Rate of change = (-10) / 2 = -5 units per minute

From 4 minutes to 6 minutes:

Initial amount at 4 minutes = 50

Final amount at 6 minutes = 40

Change in amount = 40 - 50 = -10 (a decrease)

Change in time = 6 minutes - 4 minutes = 2 minutes

Rate of change = Change in amount / Change in time

Rate of change = (-10) / 2 = -5 units per minute

The rate of change is the same between both pairs of data points, and it is -5 units per minute. This means that the amount of water is decreasing at a rate of 5 units per minute.

Explanation:

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User Nicoletta
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