Question

Y varies directly as the square of x. If y is 25 when x is 3 find y when x is 2

Answer 1

Answer:

y = $\frac{100}{9}$

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 = $\frac{y}{x^{2} }$ = $\frac{25}{9}$

⇒ y = $\frac{25}{9}$ x²

when x = 2

y = $\frac{25}{9}$ × 4 = $\frac{100}{9}$