Answer:
y = [tex]\frac{100}{9}[/tex]
Step-by-step explanation:
given y varies as the square of x then the equation relating them is
y = kx² ← k is the constant of variation
to find k use the given condition y = 25 when x = 3
k = [tex]\frac{y}{x^{2} }[/tex] = [tex]\frac{25}{9}[/tex]
⇒ y = [tex]\frac{25}{9}[/tex] x²
when x = 2
y = [tex]\frac{25}{9}[/tex] × 4 = [tex]\frac{100}{9}[/tex]
