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Rate: a measure or a quantity, typically one measured against some other quantity or measure.
Unit Rate: it is a rate that has a denominator of 1.
Equivalent: Equal in amount.

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It could be written as a fraction. 10 boys:15 girls or 10/15
Also can be written with colon.Ex 3:6
Lastly you can write is as with a to .
For example 10 to 15

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In order to find a ratio, you need to divide the denominator with both the denominator and the numerator.
EX:  6/2= 6 divided by 2 is 3
2 divided by 2 is 1
Unit rate is 3/1

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This is also an example of a proportional graph. It is proportional because the line is straight and it starts at the origin.

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In mathematics, two variables are proportional if a change in one is always always by a change in the other, and if the changes are always related by use of a constant multiplier. The constant is called the coefficient of proportionality.
Ex: For a every minute, a sloth moves 6 ft

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The ratio of the cost of the soda cans 20/10.
If you buy 12 soda cans it will cost 24 dollars because 12 x 2 = 24.

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Unit rate vs Constant of Proportionality

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Unit rate vs Constant of Proportionality

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The difference of unit rate and constant of proportionality is that unit rate is a ratio that has a 1 in the denominator and constant of proportionality  you have to simplify the ratios for they can become a unite rate or simplify it to become equivalent ratios.

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40/10.
This is the number of toy cars to the cost.
4/1.
This is the simplified answer. You can get to this answer by going back to the first ratio seeing what numbers will be able to divide into the ratio.

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Kailes want to buy 40 toy cars. He knew that 40 toy cars cost $10. What is the ratio of 40 toy cars to the cost? Simplify

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Yonathan wanted to buy 12 Coca Cola cans. He knew that 10 cans of soda are 20 dollars. What is the ratio of 12 soda cans?

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We can use ratios when we want to compare to thing/ topics, and see if somethings are the same.
Ex: Comparing the amount of trucks in a garage to the number of cars in a garage

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Ratio- the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Ratios can also be equivalent.