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look at the ratios and multiply

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masked wolf

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3y ago

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Explain how you can use a table of values and equation and a graph to determine whether a function represents a proportional relationship?

To determine if a function represents a proportional relationship, you can use a table of values to check if the ratio of the output (y) to the input (x) remains constant. If the ratios are consistent, the relationship is proportional. Additionally, graphing the function will help you visualize the relationship; if the graph is a straight line that passes through the origin (0,0), then the function is proportional. If either the table or graph does not meet these criteria, the relationship is not proportional.


How do you determine whether ratios are proportional?

you divide the numerator by the denominator, if you get the same to the other fractions, it is proportional. Another solution is if you reduce the two fractions to simplest form and they are the same, they are also proportional.


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


How can you use a table to decide if a relationship is proportional?

If the ratio between each pair of values is the same then the relationship is proportional. If even one of the ratios is different then it is not 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 methods is used to determine if 2 ratios form a proportion?

To determine if two ratios form a proportion, you can use cross-multiplication. If the cross-products of the ratios are equal, the ratios are proportional. For example, for the ratios ( \frac{a}{b} ) and ( \frac{c}{d} ), if ( a \times d = b \times c ), then the two ratios form a proportion. Additionally, you can also compare the decimal values of the ratios; if they are equal, they are proportional.


Determine whether the ratios 9 15 and 6 10 form a proportion Justify your answer?

The fractions are proportional and their cross products are equal


Is 3.20 proportional to 8 and How?

To determine if 3.20 is proportional to 8, we can compare their ratio to a constant. We can express this as a fraction: 3.20/8, which simplifies to 0.4. If two quantities are proportional, their ratios will remain constant when scaled. In this case, 3.20 is not directly proportional to 8 unless we define a specific context or relationship that connects them.


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.


How can you use a table to determine if there is a proportional relationship between two quantities?

To determine if there is a proportional relationship between two quantities using a table, you can check if the ratio of the two quantities remains constant across all entries. Specifically, divide each value of one quantity by the corresponding value of the other quantity for each row; if all ratios are the same, the relationship is proportional. Additionally, the table should show that when one quantity is multiplied by a constant, the other quantity increases by the same factor. If these conditions are met, the two quantities are proportional.


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 is true about ratios for proportional relationships that is not true about ratios for other relationships?

For proportional relationships the ratio is a constant.