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How are rates and unit rates different?

a) A rate has a denominator of 1.
b) Rates involve a measurement of time, but unit rates do not.
c) A unit rate compares two different quantities.
d) A rate is just like a tion. A unit rate is a ratio.

User Eneski
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Final answer:

Rates compare two quantities measured in different units, while unit rates reduce this comparison to one unit. An example of transitioning from a rate to a unit rate is '100 miles in 2 hours' becoming '50 miles per hour'. Unit rates facilitate easier comparison and are used in unit conversions.

Step-by-step explanation:

The main difference between rates and unit rates is that a rate compares two quantities measured in different units without necessarily reducing the comparison to a quantity of 1, while a unit rate is a rate that is reduced so that one of the quantities being compared is a single unit. An example of a rate might be '100 miles in 2 hours' which simplifies to '50 miles per hour' as a unit rate because the time has been reduced to 1 hour. This comparison of two different quantities can involve various measurements, not only time.

Additionally, a rate can apply to various scientific contexts where the change of one property is measured over time, such as the rate of a chemical reaction. Contrarily, a unit rate specifically establishes a 1:1 ratio for easier comparison and use, such as when dealing with unit conversions between different measurement systems using conversion factors.

User McGarnagle
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