Find the constant of variation k for the inverse variation. then write an equation for the inverse variation. y=4.5 when x=3

k = 13.5

xy = 13.5

Step-by-step explanation:

Inverse variation states:

If

then, the equation is in the form of:

where, k si the constant of variation.

or xy = k                ......[1]

As per the statement:

Given: y = 4.5 and x = 3

Using the definition of inverse variation, solve for k;

Substitute the given values in [1] we have;

⇒13.5 = k

then, we get equation:

Therefore, the constant of variation(k) is, 13.5 and an equation for the inverse variation is, xy = 13.5

2

step-by-step explanation: