Suppose Y varies directly as X, and Y=16 when X=8
a.) Write The equation of the direct variation relationship.
b.) Find Y when X=16.
y = kx
16 = k*8
now finish it off
I need help
To write the equation of the direct variation relationship, we use the formula Y = kX, where k is the constant of variation.
To find the value of k, we substitute the given values of Y and X into the equation.
Y = kX
16 = k(8)
Divide both sides by 8 to isolate k:
k = 16/8
k = 2
So, the equation of the direct variation relationship is Y = 2X.
To find Y when X = 16, we substitute the value of X into the equation:
Y = 2(16)
Y = 32
Therefore, when X = 16, Y = 32.