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Proportional quantities are described by equivalent ratios because they maintain a constant relationship between two quantities. For example, if two ratios, such as 1:2 and 2:4, are equivalent, they represent the same relationship, meaning that as one quantity increases, the other does so in a consistent manner. This property allows for scaling up or down while preserving the ratio, demonstrating how proportional relationships function in various contexts, such as cooking, finance, or geometry.
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What is the name of equivalent ratios?
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
Are the ratios 3 to 7 and 6 to 14 proportional?
They are equivalent.
What are the characteristics of equivalent ratios?
Equivalent ratios are ratios that express the same relationship between two quantities, even if they use different numbers. They can be found by multiplying or dividing both terms of a ratio by the same non-zero number. For instance, the ratios 1:2 and 2:4 are equivalent because they both simplify to the same proportion. Additionally, equivalent ratios maintain the same relative size or comparison between the two quantities involved.
What is an equavalent ratio?
An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the actual numbers differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship. You can obtain equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number. Equivalent ratios are often used in various applications, including scaling recipes and converting units.
How do you find proportional relationships?
To find proportional relationships, you can compare the ratios of two quantities to see if they remain constant. This can be done by setting up a ratio (e.g., ( \frac{y_1}{x_1} = \frac{y_2}{x_2} )) for different pairs of values. If the ratios are equal, the relationship is proportional. Additionally, graphing the values will show a straight line through the origin if the relationship is proportional.
What is the name of equivalent ratios?
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
What are two equivalent ratios called?
They are said to be proportional.
Are the ratios 3 to 7 and 6 to 14 proportional?
They are equivalent.
What are the characteristics of equivalent ratios?
Equivalent ratios are ratios that express the same relationship between two quantities, even if they use different numbers. They can be found by multiplying or dividing both terms of a ratio by the same non-zero number. For instance, the ratios 1:2 and 2:4 are equivalent because they both simplify to the same proportion. Additionally, equivalent ratios maintain the same relative size or comparison between the two quantities involved.
What is an equavalent ratio?
An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the actual numbers differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship. You can obtain equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number. Equivalent ratios are often used in various applications, including scaling recipes and converting units.
What is compound proportion?
Compound proportion refers to a mathematical relationship between two ratios where multiple quantities are compared. It involves comparing multiple ratios involving more than two quantities in a proportional relationship.
How are equivalent ratios like equivalent fractions?
Equivalent ratios are like equivalent fractions because they represent the same relationship between quantities in different forms. Just like equivalent fractions are different expressions of the same value, equivalent ratios show the same comparison between two quantities using different numerical values.
How do you determine if the quantities in a pair of ratios are equivalent?
If the cross-product are equal the ratios are equal. Thus, a/b = c/d if (and only if) ad = bc
What is true about ratios for proportional relationships that is not true about ratios for other relationships?
For proportional relationships the ratio is a constant.
What is equivalent ratios in math?
They are quantities that have the same values as for example 3/4 is the same as 6/8
What are two ratios that name the same number?
Two ratios that name the same number are 1:2 and 2:4. Both ratios represent the same relationship between the quantities, as they can be simplified to the same fraction, 1/2. This demonstrates that different ratios can express the same proportional relationship.
What expresses the same relationship between two quantities?
A straight line graph - is one possible answer.
