y = cx where c is some non-zero constant of proportionality.
Equivalently, x = ky where k (= 1/c) is a constant of proportionality.
The graph of y against x is a straight line through the origin, with slope c.
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
This phrase means that x = kyz where k is some constant.
We write y=kx since y varies directly as x. Now we know if x is 5, y is 10. so we write 10=5k so k=2
The idea is that a regular equation is simply a statement that two quantities are the same; this statement may, or may not, be true - or it may depend on the value of the variables. For example, x + 2 = 5 is true, only if x is replaced with 3. An "identity" is an equation that is true for any value of the variables.
Two variables, X and Y are said to be in inversely proportional is X*Y - k where k is some non-zero constant. X and Y are said to be directly proportional if X = c*Y where c is some constant.
If y varies directly as x then k = 2.
If y varies directly as x and if x = 2 when y = 8 then k = 4.
-8
If y varies directly as x and y is 18 when x is 24, then y is always three fourths of x. So if y is 15, then x is 20.
If y varies directly as x and y is 36 when x is 9, then y is always four times the value of x. So if y is 12, then x is 3.
y varies directly as x y=kx, where k is a constant y=18 when x=3 18=3k k=6 y=6x
Y = K (z/x)
No
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
What is y? Fx varies with x, but y could be anything.
This phrase means that x = kyz where k is some constant.
It is f(x) = 6*x