Suppose x varies directly with y and x= 29 when y= -87. what is the constant 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

Option C. Constant of variation: -3 , x= 63

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

Part 1

Find the constant of proportionality or variation k

For

substitute the values

------->

The direct variation  equation is equal to

Part 2

what is the value of x when y= -189?

substitute in the equation and solve for x

[

Option C is correct

Constant of variation: -3

x= 63

Step-by-step explanation:

Direct variation states that:

if y varies directly to x then;

where, k is the constant of variation.

As per the statement:

Suppose x varies directly with y and x= 29 when y= -87.

by definition we have;

Substitute the given values to solve for k:

Divide both sides by 29 we have;

or

then we get the equation:

          .....[1]

To find the value of x when y = -189

Substitute the value of y= -189 in [1] we have;

Divide both sides by -3 we have

⇒x = 63

Therefore, the value of x = 63 and constant of variation = -3

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

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step-by-step explanation: