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Ms. Garcia Math |
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Ratio |
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A comparison of two things.
It has 3 forms: 2 to 3 2/3 2:3 |
a ratio of two boys to three girls 2 to 3, 2/3, 2:3 |
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Equivalent Ratios |
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If two ratios have the same value when simplified, then they are called Equivalent Ratios. |
2/3 = 4/6 |
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Rate |
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A ratio that compares quantities of different units, such as miles per hour, price per pound, students per class. |
10 words in 5 seconds,
220 Km in 2 hours |
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Unit Rate |
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Rate with a denominator of one. If Ana earns $80 in 8 hours, then unit rate of her earning is given as $80/8h = $10/h |
20 miles per gallon,
60 miles/hour |
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Proportion |
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A statement of equality between two ratios. Four quantities, a, b, c, d, are said to be in proportion if a/b = c/d or a:b = c:d |
2/3 = X/30
X= (2 x 30)/3 = 20 |
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Proportional |
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Two variable quantities are proportional if one of them is always the product of the other and a constant quantity, called the coefficient of proportionality |
The circumference of a circle
is proportional to its diameter,
with the constant of
proportionality equal to p |
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Proportional Relationship |
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Two variable quantities are proportional if one of them is always the product of the other and a constant quantity , called the coefficient of proportionality (Y = k X). |
Apples are sold in a bag of 10 for $5. The ratio of dollars to Apples is 5:10
dollars = apples/2 |
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Directly Proportional |
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When two quantities both change by the same factor, they are in direct proportion. |
Twice the apples costs twice the money |
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Inversely Proportional |
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When one variable increases the other decreases in proportion so that the product is unchanged |
the time taken for a journey is inversely proportional to the speed of travel Time = distance/velocity |
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Cross Product. |
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The product of the numerator of one fraction and the denominator of the other fraction. When two ratios are equal, then the cross products of the ratios are equal. |
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