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How can you use constant ratios to determine if a relationship is proportional?
set up a proportion and see if both sides simplify to the same answer. If the 2 ratios represent a constant ratio they will simplify into fractions
What is the multiplicative relationship between two equivalent ratios?
The multiplicative relationship between two equivalent ratios indicates that they can be expressed as multiples of each other. For example, if the ratio (a:b) is equivalent to the ratio (c:d), then there exists a constant (k) such that (a = k \cdot c) and (b = k \cdot d). This means that multiplying both terms of one ratio by the same non-zero number will yield the other ratio, demonstrating their equality.
What is the relationship between edge length ratios area ratios and volume ratios of similar figures with various scale factors?
Area ratio = (edge-length ratio)2 Volume ratio = (edge-length ratio)3 Volume ratio = (area ratio)3/2
What makes two ratios equivalent?
They have a constant rate or ratio.
Is a ratio a comparison between two ratios?
A ratio is a comparison between two values. The values can be integers or fractions (ratios).
How can you use constant ratios to determine if a relationship is proportional?
set up a proportion and see if both sides simplify to the same answer. If the 2 ratios represent a constant ratio they will simplify into fractions
What has a variation in the relationship between two variable quantities with a constant ratio?
The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).
What relationship exists between two variable when their ratio is a constant?
Two variables whose ratio is constant have a linear relationship. The first variable is the second multiplied by the constant.
What is the multiplicative relationship between two equivalent ratios?
The multiplicative relationship between two equivalent ratios indicates that they can be expressed as multiples of each other. For example, if the ratio (a:b) is equivalent to the ratio (c:d), then there exists a constant (k) such that (a = k \cdot c) and (b = k \cdot d). This means that multiplying both terms of one ratio by the same non-zero number will yield the other ratio, demonstrating their equality.
What is the relationship between edge length ratios area ratios and volume ratios of similar figures with various scale factors?
Area ratio = (edge-length ratio)2 Volume ratio = (edge-length ratio)3 Volume ratio = (area ratio)3/2
What is the relationship between two ratio's in a proportion?
A proportion is a statement that says "These two ratios are equal".
What makes two ratios equivalent?
They have a constant rate or ratio.
What is the relationship between two variables quantities with a constant ratio?
It is a direct proportion.
What is the relationship between two quantities in which the ratio of one quantity to the other quantity is constant?
A linear relationship
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.
Is a ratio a comparison between two ratios?
A ratio is a comparison between two values. The values can be integers or fractions (ratios).
What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
