If the value of "y" varies directly with "x" and y = -51 when x = 3, find "y" if x = 2. Enter the number that belongs in the green box. y = [?]​

Respuesta :

In the direct variation where y varies directly with x, the value of y when x = 2 is: y = -34

Recall:

Direct variation between two variables can be modelled using, y = kx, where k is the constant of proportionality.

Given that y varies directly with x, find the constant of proportionality by substituting y = -51 and x = 3 into y = kx.

-51 = k(3)

  • Divide both sides by 3

k = -17

Find y when x = 2 by substituting k = -17 and x = 2 into y = ikx.

y = (-17)(2)

y = -34

Learn more about direct variation on:

https://brainly.com/question/6499629