Question

X varies directly as y and x varies inversely as the square of z. When y = 75 and x = 6, then
z = 5. Find the value of x when y = 24 and z = 4.
(1) 2
(2) 3
(3) 4
(4) 6​

Answer 1

Answer:

x = 3

Step-by-step explanation:

x ∝ y

x ∝ 1/z²

=> x = ay/z²

When y = 75 and x = 6, then  z = 5

=> 6 = a * 75/5²

=> 6 = 3a

=> a = 2

x = 2y/z²

x = 2 * 24 / 4²

x = 3