Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

The variables x and y are directly proportional, and y = 2
when x = 3. What is the value of y when x = 9 ?


Sagot :

Direct proportionality:
[tex]y=kx[/tex]
k - the constant of proportionality

[tex]y=2 \hbox{ when } x=3 \\ \Downarrow \\ y=kx \\ 2=3k \\ k=\frac{2}{3} \\ \\ y=? \hbox{ when } x=9 \\ \Downarrow \\ y=kx \\ y=\frac{2}{3} \times 9 \\ y=2 \times 3\\ y=6 \\ \\ \boxed{y=6 \hbox{ when } x=9}[/tex]