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The rate of change of a measurement over time is known as the derivative. In calculus, this is represented as the slope of the tangent line at a specific point on a curve. The derivative provides information on how quickly a quantity is changing at a particular moment. It is a fundamental concept in calculus and is used to analyze various real-world phenomena.
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How does the constant rate of change show up in the table?
You have already assumed the information in the table is linear in nature. Given that information, the constant rate of change is the ratio of the amount of change in the dependent variable compared to the amount of change of the independent variable. Put a simpler way, it is change in y divided by change in x.
What does 200u mean?
It's a number. It means the amount you would have after you were given the amount 'u' two hundred times.
The amount of distance covered in a given time is called?
The speed
Is the capacity the same as amount?
Capacity and amount are similar, yes but capacity is how much something can hold and amount means the substance.
Why do you decrease the value if you use a larger unit and increase the value for a smaller unit?
Because, for any given amount, there are fewer larger units that will go into that amount.
