suppose why varies directly with X and why equals 14 when X equals -4 what is the value of Y when X equals -6
-21
10
18
21
To find the value of Y when X equals -6, we can use the concept of direct variation.
In direct variation, the relationship between two variables, Y and X, is defined as Y = kX, where k is a constant.
Given that Y varies directly with X, we know that Y = kX.
We are also given that Y equals 14 when X equals -4. Substituting these values into the equation, we get:
14 = k(-4).
To solve for k, divide both sides of the equation by -4:
k = 14 / -4.
k = -7/2.
Now that we know the value of k, we can use the equation Y = kX to find Y when X equals -6:
Y = (-7/2)(-6) = 21.
Therefore, the value of Y when X equals -6 is 21.