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  • 02-02-2015
  • Mathematics
Answered

The variables x and y are directly proportional, and y = 2

when x = 3. What is the value of y when x = 9 ?

Verified Answer :

naǫ
naǫ naǫ
  • 02-02-2015

Direct proportionality:
\(y=kx\)
k - the constant of proportionality

\(y=2 \hbox{ when } x=3 \\ \Downarrow \\ y=kx \\ 2=3k \\ k=\frac{2}{3} \\ \\ y=? \hbox{ when } x=9 \\ \Downarrow \\ y=kx \\ y=\frac{2}{3} \times 9 \\ y=2 \times 3\\ y=6 \\ \\ \boxed{y=6 \hbox{ when } x=9}\)

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