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

Your equation is: y = 13.5/x  or  xy = 13.5

Step-by-step explanation:

Inverse variations:  y = k/x

4.5 = k/3

k = 4.5(3) = 13.5

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.