look at the ratios and multiply
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.
The fractions are proportional and their cross products are equal
To determine if two ratios are proportional, we cross multiply and check if the products are equal. In this case, 8 * 4 = 32 and 9 * 3 = 27. Since 32 is not equal to 27, the ratios 8 to 9 and 3 to 4 are not proportional.
They are said to be proportional.
you have to times and get the answer correct or not
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.
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
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.
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.
The fractions are proportional and their cross products are equal
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.
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.
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.
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.
For proportional relationships the ratio is a constant.
To determine if two ratios are proportional, we cross multiply and check if the products are equal. In this case, 8 * 4 = 32 and 9 * 3 = 27. Since 32 is not equal to 27, the ratios 8 to 9 and 3 to 4 are not proportional.
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.