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If y equals kx then what is the relationship between x y and k?
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.
What is the definition constant of proportionality?
The state of being in proportion.
What does constant of proportion mean?
If two variables are in direct relationship then the ratio of the two variables is known as the constant of proportion between them. In algebraic form, if X and Y are the two variables, then direct proportionality implies that Y = cX and c is the constant of proportionality.
What is the constant of proportionality of y 3.8x?
The constant of proportionality in the equation y = 3.8x is 3.8. This means that for every unit increase in x, y will increase by 3.8 times that amount. It represents the ratio between the two variables and remains constant throughout the relationship.
Relationship between variables in direct proportionality and inverse proportionality?
Variables X and Y are in direct proportion is Y = c*X for some constant c (not zero). Then X increases whenever Y increases and conversely. Y increases by c times the increase in X. Variables X and Y are in inverse proportion is X*Y = k for some constant k (not zero). Then X increases whenevr Y decreases and conversely.
