Question

. This relation is an inverse variation.

{(-1,16),(2, -8) (4, -4)}
Which equation represents this relation?
a. y = –16x
b. y = -16x + 2
C.y=-x/16
d. Y=-16/x

Answer 1

The equation that represents the relation is;

d. y = -16/x

Explanation:

The

An inverse variation of an ordered pairs is the set of ordered pairs that is given by the relationship that as one variable in an ordered pair increases, the other decreases and vice versa

Mathematically, an inverse relation can be expressed as follows;

y ∝ 1/x

From which we have;

y = k/x, where, "k", represents the constant of proportionality

Therefore, we have;

k = y × x

The given ordered pair are;

{(-1, 16), (2, -8), (4, -4)}

Therefore, k = y × x = 16 × (-1) = -8 × 2 = -4 × 4 = -16

The given function is y = k/x = -16/x

Therefore, y = -16/x.