Answer:
y = 9
Step-by-step explanation:
given y is proportional to x , then the equation relating them is
y = kx ← k is the constant of proportionality
to find k, substitute x = 6 , y = 4
4 = 6k ( divide both sides by 6 )
[tex]\frac{4}{6}[/tex] = k , that is
k = [tex]\frac{2}{3}[/tex]
y = [tex]\frac{2}{3}[/tex] x ← equation of proportion
When x = 9 , then
y = [tex]\frac{2}{3}[/tex] × 9 = 2 × 3 = 6
Answer:
Step-by-step explanation:
Given, y is proportional to x.
(Two ratios are in proportion if they are equal in value)
So, [tex]\frac{y}{x} = \frac{4}{6}[/tex] .....................(1)
Now, substituting the value of x in eqn 1, we get,
[tex]\frac{y}{9} = \frac{4}{6}[/tex]
6y = 9 x 4 (By cross multiplying)
y = [tex]\frac{36}{6}[/tex]
y = 6
