The constant variation for the relationship ( y = kx ) indicates that ( y ) varies directly with ( x ), where ( k ) is the constant of variation. This means that for any change in ( x ), ( y ) changes by a proportional amount determined by ( k ). If ( k ) is positive, ( y ) increases as ( x ) increases; if ( k ) is negative, ( y ) decreases as ( x ) increases. The value of ( k ) represents the rate of change between ( y ) and ( x ).
You don't.You could find percent of change but first you would have to learn to check your spelling!Suppose the value changes from X to Ythe change is (Y - X)the proportional change is (Y - X)/X = (Y/X - 1)the percentage change is 100*(Y/X - 1)that is,100*(New Value/Old Value - 1)
The change in the value of ( y ) as ( x ) increases depends on the relationship between the two variables. If ( y ) is a function of ( x ) that is increasing, then ( y ) will also increase as ( x ) increases. Conversely, if the relationship is decreasing, ( y ) will decrease as ( x ) increases. In cases where the relationship is non-linear or involves complex interactions, ( y ) may change in a more variable manner.
slope
In expressions such as "x-y", both "x" and "y" can have any value. The value of "x-y" will depend on what the value of "x" and the value of "y" are.
the Y value decreases.
Assuming that the equation is y = 3x + 2, y decreases by three times as much as the decrease in x.
The constant variation for the relationship ( y = kx ) indicates that ( y ) varies directly with ( x ), where ( k ) is the constant of variation. This means that for any change in ( x ), ( y ) changes by a proportional amount determined by ( k ). If ( k ) is positive, ( y ) increases as ( x ) increases; if ( k ) is negative, ( y ) decreases as ( x ) increases. The value of ( k ) represents the rate of change between ( y ) and ( x ).
You don't.You could find percent of change but first you would have to learn to check your spelling!Suppose the value changes from X to Ythe change is (Y - X)the proportional change is (Y - X)/X = (Y/X - 1)the percentage change is 100*(Y/X - 1)that is,100*(New Value/Old Value - 1)
You're thinking of 'inverse' proportion. Here's how it works. Let's say 'y' is proportional to 'x', meaning that a change in 'x' causes a change in 'y'. We also need a constant number, call it 'K'. If 'y' is directlyproportional to 'x', then they both change in the same direction. If 'x' doubles, then 'y' doubles. If 'x' gets 2.93 times bigger, then 'y' also gets 2.93 times bigger etc. You'd express the relationship as: y=Kx. If 'y' is inverselyproportional to 'x', then they change in opposite directions, as you described in your question. If 'x' doubles, then 'y' decreases to 1/2 of what it was originally. If 'x' gets 10 times as big, then 'y' becomes 1/10 as big. This relationship is written: y = K/x.
If a function Y is dependent on X. if X increases in value then Y also increases then we call this a positive relationship. If X increases in value then Y decreases or vice versa then we call this a negative relationship.
A linear equation has a constant rate of change, or slope (change in y (dependent) value over change in x (independent) value), when graphed forms a straight trend line, and is in the format y=mx+b (y is dependent value, m is slope, x is independent value, and b is the y-intercept (the value of y when x=0).
Y would decrease in value as X increases in value.
Given that it does not change directly with x, and it is y = 15 when x = 5, find the value ofi y at x = 7
linear if xy = 20, then y = 20/x or y = 20(1/x) So x can be positive or negative but not zero: There are 3 cases: Case 1: if x = 20, then y is constant, y = 1. Case 2: a) if x > 0, and if x → 0+, then y → ∞ (if x decreases but not reaches zero, then y increases without end). b) if x < 0 and if x → -∞, then y → 0 (if x decreases, then y increases and approaches to zero). Case 3: a) if x > 0 and if x → ∞, then y → 0 (if x increases, y decreases and approaches to zero) b) if x < 0, and if x → 0-, then y → -∞ (if x increases but not reaches zero, then y decreases without end).
slope
If you mean when an equation or data set is graphed, then I can answer. For an equation to be linear (create a line on a graph) it must be in the y=mx+b format, with y being the y-value, x being the x-value, b being the y-intercept (the value of y when x is 0) and m being the constant rate of change, or slope (the change in y/the change in x).