If P varies directly with q, r and s then P = kqrs, where k is a constant.
As 70 = k x 7 x 5 x 4 = 140k : k = 70/140 = 1/2
The equation of joint variation is P = ½qrs.
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation
f = 54
Any variation is very sensitive to extreme values!
zeros values at which an equation equals zero are called roots,solutions, or simply zeros. an x-intercept occurs when y=o ex.) y=x squared - 4 0=(x-2)(x+2) (-infinity,-2)(-2,2) (2,infinity)
Find an equation of variation where y varies directly as x. One pair of values is y = 80 when x = 40
a = 0.8
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.
It is, in fact, an identity - which is an equation which is true for all values of the variable.
They are called the solutions or roots of the equations.
When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation
-4
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.
There are no exclude values of the equation, as given.
10.
f = 54
It is a quadratic equation and the values of x are: -1/2 and 6