Question

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

Answer 1

X varies directly as y
x = ky
3 = 2k
k = $\frac{3}{2}$
 when x =9
9 = $\frac{3}{2}$y
$\frac{18}{3}$ = y
∴y = 6

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Answer 2

If x and y are directly proportional, x = ky
When x = 3, y = 2.
So 3 = 2k
k = 3/2
So x = 3y/2
When x = 9,
9 = 3y/2
18 = 3y
y = 6
So when x = 9, y = 6.
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