what is the constant of variation if y varies directly as x and y = 1 then x = 2...

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KaChaa @KaChaa

September 2022 2 1 Report

what is the constant of variation if y varies directly as x and y = 1 then x = 2 ?

Quinzen

Verified answer

DIRECT VARIATION

Given: What is the constant of variation if y varies directly as x and y = 1 then x = 2?

Answer:

The constant of variation is $\LARGE{ \bold{{ \: \: \frac{1}{2}}}}$ .

Step-by-step explanation:

First, apply the given values of y and x in the formula y=kx.

$y = kx \\ 1 = 2k$

Then, solve.

$\frac{1}{2} = \frac{ \cancel{2}k}{ \cancel{2}} \\ \frac{1}{2} = k$

Thus, k = ½.

Learn more about direct variation:

The statements:

“y varies directly as x”
“y is directly proportional to x”
“y is proportional to x”

may be translated mathematically as y=kx where k is the constant of variation.

MissJindySummer

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