Want this question answered?
In mathematics, when the dependent variable is not proportional to the independent variable. The function does not vary directly with the input. Example: y=sin (x).
In mathematics, when the dependent variable is not proportional to the independent variable. The function does not vary directly with the input. Example: y=sin (x).
X = YY = X=======these are directly proportionalX = 1/YY = 1/X========these are inversely proportionalTry a few inserted numbers and graph these to see, visually, the difference.
A variable, Y, is inversely proportional to another variable, X if XY = k for some positive constant k. An equivalent formulation is Y = k/X. What this means is that if you double X, then Y is halved. If you treble X then Y is reduced to a third etc.
The greek letter "alpha" (α) for both. If x is directly proportional to y, you could say x α y. For inversely proportional, you would say something like x α 1/y, or x α y^-1, as in, directly proportional to the inverse.
One variable is directly proportional to another if increasing/decreasing the first variable increases/decreases the second variable by the same proportion. For example, consider the equation a = b x c. "a" is directly proportional to both "b" and "c". If you double "b" or "c" then "a" is also doubled etc...
If a variable (such as y) is directly proportional to another variable (such as x), they both increase and decrease simultaneously. An equation for two directly proportional variables is:y = axIt's sort of like a linear equation, but it always goes through the origin.An example is y = 6x. Notice that it forms a straight line and crosses the origin, and that y and x increase in the same direction.
In directly proportional the two variable vary in the same "direction". So, if one increases, the other increases.In inversely proportional, the two variable vary in opposite "directions". So, if one increases, the other decreases.
In mathematics, when the dependent variable is not proportional to the independent variable. The function does not vary directly with the input. Example: y=sin (x).
In mathematics, when the dependent variable is not proportional to the independent variable. The function does not vary directly with the input. Example: y=sin (x).
In mathematics, when the dependent variable is not proportional to the independent variable. The function does not vary directly with the input. Example: y=sin (x).
X = YY = X=======these are directly proportionalX = 1/YY = 1/X========these are inversely proportionalTry a few inserted numbers and graph these to see, visually, the difference.
A variable, Y, is inversely proportional to another variable, X if XY = k for some positive constant k. An equivalent formulation is Y = k/X. What this means is that if you double X, then Y is halved. If you treble X then Y is reduced to a third etc.
The greek letter "alpha" (α) for both. If x is directly proportional to y, you could say x α y. For inversely proportional, you would say something like x α 1/y, or x α y^-1, as in, directly proportional to the inverse.
Generally, if y increases as x increases, this is a hint that the quantity is directly proportional, and if y decreases as x increases, the relation might be inversely proportional. However, this is not always the case. x and y are directly proportional if y = kx, where k is a constant. x and y are inversely proportional if y = k/x, k is constant. This is the best way to tell whether the quantities are directly or inversely proportional.
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.
It means that the variable x is twice as much as variable n. x is in direct proportion to n (or x varies directly as n) with the constant of proportionality = 2.