10,648 views
37 votes
37 votes
In a direct variation, y = 16 when x = 4. Write a direct variation equation that shows therelationship between x and y.Write your answer as an equation with y first, followed by an equals sign.Submit

User Aur Saraf
by
2.9k points

1 Answer

9 votes
9 votes

For a direct variation, there is always a constant between both variables usually represented by k.

That means for every value of y, the contant is multiplied by x.

Therefore;


\begin{gathered} 16=4k \\ k=(16)/(4) \\ k=4 \\ \text{The equation that shows the relationship betw}een\text{ x and y is;} \\ y=4x \end{gathered}

User Shammelburg
by
3.1k points