Why do you think rates are usually written as unit rates?

Mathematics

2 answers:

stellarik [79]3 years ago

6 0

Coooooooooooooooooooooool

Elden [556K]3 years ago

6 0

It's so you can compare two rates

For example,
person A walks 10 miles in 2 hours
person B walks 40 miles in 4 hours

If you want to know who is the faster walker, then you divide the distance over the time
person A's speed = distance/time = 10/2 = 5 miles per hour
person B's speed = distance/time = 40/4 = 10 miles per hour

So we can see that person B is faster as 10 is larger than 5. This is only possible by comparing the unit rates of 5 mph (for person A) and 10 mph (for person B)

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Inessa05 [86]

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10.846 hours

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2 years ago

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Dafna1 [17]

Given:

The scale factor between two circles is $\dfrac{2x}{5y}$ .

To find:

The ratio of their areas.

Solution:

We know that, all circles are similar.

The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.

The scale factor is the ratio of the corresponding sides.

Ratio of areas of circles = Square of scale factor between two circles

$\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2$