The answer depends on how the information is presented.
If in the form of a graph, it must be a straight line through the origin.
If in the form of an equation, it must be of the form y = cx.
The relationship Y = kx is proportional, where Y is directly proportional to x with a constant of proportionality k. This means that as x increases, Y also increases in a linear fashion. In a nonproportional relationship, the ratio of Y to x would not be constant, and the relationship could be more complex, such as quadratic or exponential.
Without further context or information about the relationship between x and y, it is impossible to determine the value of y when x is 3. The value of y could be anything depending on the equation or function that defines their relationship. In mathematics, x and y are often related through equations or functions, and without that information, we cannot determine the specific value of y when x is 3.
if INVERSELY proportional then y = 1/X^2 ( that is, 1 divided by x squared) If X doubles then X SQUARED increases as 2 x 2 = 4 times SINCE Y = 1/x^2 then Y DECREASES 4 times
Oh, what a lovely question! When x is 3, we simply substitute x with 3 in the equation to find the value of y. It's like adding a happy little tree to your painting - just plug in 3 for x and see what beautiful value of y comes out!
y=54 if x=6 so we can write y=9(x) so y=k(x) clearly y is directly proportional to x.
A [directly] proportional relationship between two variables, X and Y implies thatY = cX where c is the constant of proportionality.
You need to know what is the relationship between x and y. Are they proportional? Inversely proportional? Several other options also exist.
The equation ( y = 13x ) does represent a proportional relationship between ( x ) and ( y ). In this equation, ( y ) is directly proportional to ( x ) with a constant of proportionality equal to 13. This means that if ( x ) increases or decreases, ( y ) will change by the same factor, maintaining a constant ratio of ( \frac{y}{x} = 13 ).
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.
Suppose the two variables are X and Y. If, for any observation, X/Y remains the same, the relationship is proportional.
A proportional relationship exists when two variables are related by a constant ratio. In the expression y-2.5x, there is no constant multiplier connecting y and x, indicating a non-proportional relationship. If the relationship were proportional, the expression would be in the form y = kx, where k is a constant.
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.
Yes. It is inversely proportional. An increase in x results in a proportional decrease in y and vice versa.
The relationship Y = kx is proportional, where Y is directly proportional to x with a constant of proportionality k. This means that as x increases, Y also increases in a linear fashion. In a nonproportional relationship, the ratio of Y to x would not be constant, and the relationship could be more complex, such as quadratic or exponential.
Force= mass x acceleration. Therefore: Force is directly proportional to acceleration.
To write an equation for a proportional relationship, identify the two variables involved, typically denoted as (y) and (x). The equation can be expressed in the form (y = kx), where (k) is the constant of proportionality that represents the ratio between (y) and (x). Ensure that (k) is determined by using known values of (y) and (x) from the relationship.
Various options: y is directly proportional to k, with x as the constant of proportionality; y is directly proportional to x, with k as the constant of proportionality; x is inversely proportional to k, with y as the constant of proportionality; x is directly proportional to y, with 1/k as the constant of proportionality; k is directly proportional to y, with 1/x as the constant of proportionality; and k is inversely proportional to x, with y as the constant of proportionality.