y = kx: 10 = 37k so k = 10/37 and y = 10x/37
The equation is xy = 22.5
Suppose the two variables are denoted by X and Y. If Y is a constant multiple of X, that is Y = c*X, then the variation is direct. If the value of X*Y is a constant, that is Y = c/X, then the variation in inverse.
If the relationship between two variables in a table is that of direct variation, then the unit rate or the constant of proportionality is determined by dividing any non-zero value of one of the variables by the corresponding value of the other variable.
40
find the constant of variation and the slope of the given line from the graph of y=2.5x
2y - 3x = 0Put into Slope-Intercept form:2y = 3xDivide by 2:y = 3/2 * x = 1.5x3/2, or 1.5 is the constant of variation.
y = kx: 10 = 37k so k = 10/37 and y = 10x/37
What is y? Fx varies with x, but y could be anything.
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
The equation is xy = 22.5
Y=kx+m Y=-5x+m K=-5
If y and x are related inversely, then the equation for y can be said to be:y = k/xTo find the constant k, substitute 12 for y and 6 for x (a pair of values that are known to satisfy the equation).y = k/x12 = k/612 X 6 = k72 = kThe value of the variation constant k is 72.
y = cx when x = 8, y = 12 so that 12 = 8c which gives c = 12/8 = 1.5
Suppose the two variables are denoted by X and Y. If Y is a constant multiple of X, that is Y = c*X, then the variation is direct. If the value of X*Y is a constant, that is Y = c/X, then the variation in inverse.
If the relationship between two variables in a table is that of direct variation, then the unit rate or the constant of proportionality is determined by dividing any non-zero value of one of the variables by the corresponding value of the other variable.
variation