If x varies directly as square root of y and x ... - JAMB Mathematics 2024 Question

Since x varies directly as \(\sqrt{y}\), the equation becomes:

x = k * \(\sqrt{y}\),

where k is the constant of variation. When x = 81 and y = 9, we can solve for k:

81 = k * \(\sqrt{9}\),

81 = k * 3,

k = 27.

Now, substitute y = 1\(\frac{7}{9}\) into the equation:

y = 1.777... → \(\sqrt{y}\) ≈ 1.33,

x = 27 * 1.33 ≈ 36.