Question

Find the vbalie If K, and then write an equation to describee the direct variation.

Answer 1

Given:

x = 9 and y = 6

Use the equation:

y = kx

Where y varies directly as x

K is the constant of proportionality.

Let's find the value of k:

`\begin{gathered} y\text{ = kx} \\ \\ 6\text{ = 9k} \\ \\ \text{Divide both sides by 9:} \\ (6)/(9)=(9k)/(9) \\ \\ (2)/(3)=k \end{gathered}`

k = ⅔

An equation to describe the direct variation is:

`y\text{ = }(2)/(3)x`

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