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Mrrafil [7]
3 years ago
11

If y is directly proportional to x² and y=2 when x=3 Find the value of y when x=6Please Help

Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0

Answer:

y = 8

Step-by-step explanation:

Given that y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of variation

To find k use the condition y = 2 when x = 3, then

2 = k × 3² = 9k ( divide both sides by 9 )

\frac{2}{9} = k

y = \frac{2}{9} x² ← equation of proportion

When x = 6, then

y = \frac{2}{9} × 6² = \frac{2}{9} × 36 = 2 × 4 = 8

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