Respuesta :

Answer:

The value of y is 21.

Step-by-step explanation:

The formula of inversely proportional is y = k/x where k is a constant. So in order to find y, you first have to find the value of k by substituing x and y values into the formula :

[tex]y = \frac{k}{x} [/tex]

Let y = -105,

Let x = -3,

[tex] - 105 = \frac{k}{ - 3} [/tex]

[tex]k = - 105 \times - 3[/tex]

[tex]k = 315[/tex]

We have already found k value. Next you have to find the value of y :

[tex]y = \frac{315}{x} [/tex]

Let x = 15,

[tex]y = \frac{315}{15} [/tex]

[tex]y = 21[/tex]