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Which set of values describes two quantities that are in a proportional relationship?
Two quantities are in a proportional relationship if they maintain a constant ratio or rate. For example, if you have the values (2, 4) and (3, 6), the ratio of the first quantity to the second is the same for both pairs: 2:4 simplifies to 1:2, and 3:6 also simplifies to 1:2. Thus, any pair of values that can be expressed as k times the other (where k is a constant) indicates a proportional relationship.
What else can I help you with?
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 do you know if a relationship is proportional or not?
A relationship is proportional if it maintains a constant ratio between two variables. This can be determined by plotting the data on a graph; if the points form a straight line that passes through the origin (0,0), the relationship is proportional. Additionally, you can check if the ratio of the two variables remains the same for all pairs of corresponding values. If the ratio changes, the relationship is not proportional.
Which table shows a proportional relationship between x and y?
A table shows a proportional relationship between x and y if the ratio of y to x is constant for all pairs of values. This means that for each value of x, the corresponding value of y can be expressed as y = kx, where k is a constant. To identify such a table, check if the values of y divided by the corresponding values of x yield the same result throughout the table. If they do, then the relationship is proportional.
How can you use an equation to find an unknown value in a proportional relationship?
To find an unknown value in a proportional relationship, you can set up a ratio equation based on the known values. For example, if you have a proportional relationship expressed as ( \frac{a}{b} = \frac{c}{d} ), where ( a ) and ( b ) are known values, and ( c ) is the unknown, you can cross-multiply to solve for ( c ) by rearranging the equation to ( c = \frac{a \cdot d}{b} ). This allows you to calculate the unknown value while maintaining the proportional relationship.
How do you recognize a proportional relationship in a table?
A proportional relationship in a table can be recognized when the ratio of the values in one column to the corresponding values in another column remains constant. This means that if you divide the values of one column by the values of the other, the result will be the same for all pairs of values. Additionally, if you plot the points represented by the table on a graph, they will lie on a straight line that passes through the origin (0,0).
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 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 relationship between two quantities called?
I Have No Clue, Please Help Me...? * * * * * It depends on the direction of the relationship. Consider y = x2 where x is a real number. The relationship from x to y is a function but the one in the opposite direction (x = sqrt(y) is not a function because it is a one-to-many mapping.
How do you know if a relationship is proportional or not?
A relationship is proportional if it maintains a constant ratio between two variables. This can be determined by plotting the data on a graph; if the points form a straight line that passes through the origin (0,0), the relationship is proportional. Additionally, you can check if the ratio of the two variables remains the same for all pairs of corresponding values. If the ratio changes, the relationship is not proportional.
Which table shows a proportional relationship between x and y?
A table shows a proportional relationship between x and y if the ratio of y to x is constant for all pairs of values. This means that for each value of x, the corresponding value of y can be expressed as y = kx, where k is a constant. To identify such a table, check if the values of y divided by the corresponding values of x yield the same result throughout the table. If they do, then the relationship is proportional.
How can you use an equation to find an unknown value in a proportional relationship?
To find an unknown value in a proportional relationship, you can set up a ratio equation based on the known values. For example, if you have a proportional relationship expressed as ( \frac{a}{b} = \frac{c}{d} ), where ( a ) and ( b ) are known values, and ( c ) is the unknown, you can cross-multiply to solve for ( c ) by rearranging the equation to ( c = \frac{a \cdot d}{b} ). This allows you to calculate the unknown value while maintaining the proportional relationship.
How do you recognize a proportional relationship in a table?
A proportional relationship in a table can be recognized when the ratio of the values in one column to the corresponding values in another column remains constant. This means that if you divide the values of one column by the values of the other, the result will be the same for all pairs of values. Additionally, if you plot the points represented by the table on a graph, they will lie on a straight line that passes through the origin (0,0).
What is to determine all the values of the variables that make the proportion true?
It is finding all the solutions of a proportional relationship.
How do you know if a linear relationship is proportional or not?
A linear relationship is proportional if it passes through the origin (0,0) and can be expressed in the form (y = kx), where (k) is a constant. To determine if a linear relationship is proportional, check if the ratio of (y) to (x) remains constant for all values. If the relationship has a y-intercept other than zero (e.g., (y = mx + b) with (b \neq 0)), it is not proportional.
How can you identify a linear non proportional relationship from a table a graph and an equation?
It is a relationship in which changes in one variable are accompanied by changes of a constant amount in the other variable and that the variables are not both zero.In terms of an equation, it requires y = ax + b where a and b are both non-zero.
What is the difference between saying that one quantity is proportional to another and saying it is equal to another?
When one quantity is proportional to another, it indicates that one quantity is dependent on the other by a factor and increases/decreases with the other quantity. When the two quantities are equal, the output of both the quantities is said to be the same.
How can the term of a ratio be described as?
The term of a ratio can be described as the individual components or values that make up the ratio. For example, in the ratio 3:2, the terms are 3 and 2, representing the quantities being compared. Terms can also be referred to as the antecedent (the first term) and the consequent (the second term) in a ratio. Each term provides insight into the proportional relationship between the quantities involved.
