Question

Write the equation to represent the following relationship. y varies inversely with x. When y = 4, x = 3.

Answer 1

EXPLANATION

The relationship that represents the equation is the following:

$y=\frac{k}{x}$

Plugging in x=3 and y=4 into the equation:

$4=\frac{k}{3}$

Multiply 3 to both sides:

$3*4=k$

Multiplying numbers:

$12=k$

Switching sides:

$k=12$

Therefore, the equation is the following:

y= 12/x