Question

suppose X varies directly with y x = 29 when y = -87 what is the constant of variation and what is the value of x when y = -189

A. constant of variation -1/3 x= 63

B. constant of variation -1/3 x=-63

C. constant of variation -3 x=-63

D. constant of variation -3 x=567​

Answer 1

Answer:

x=63

Step-by-step explanation:

Answer 2

Given: Suppose X varies directly with y x = 29 when y = -87.

To find: The constant of variation and the value of x when y = -189.

Solution:

The constant of variation for a given set of values can be calculated by dividing the value of x by the value of y. This is done as follows.

$\frac{x}{y} = \frac{29}{-87}$

   $=-\frac{1}{3}$

When the value of y is -87, the value of x is 29. When the value of y is -189, the value of x can be calculated using the following equation.

$-87*x = -189*29$

On rearranging the equation, the value of x is calculated to be

$x = \frac{-189*29}{-87}$

   $= 63$

Therefore, the constant of variation is -1/3 and the value of x when y = -189 is 63.