Question

The value of y varies directly with x and inversely with
the square of z. When the value of x = 24, and y = 6, z =
8. Find the value of x when y = 20 and 2 = 6.
O x = 45
Ox=
= 10.5
O x
X = 360
OX= 7.5

Answer 1

Answer:

x = 45 when y = 20 and z = 6

Step-by-step explanation:

The general formula here is y = kx/z²

If x = 24 and y = 6, z = 8, so:

y = kx/z² becomes 6 = k(24)/8², and:

             6                   1

k = ---------------- = -------------- = 16

         24/64            4/64

Then y = 16x/z², and so, if y = 20 and z = 6 (check this!), then:

20 = 16x/36, or 16x = 720, or x = 45

x = 45 when y = 20 and z = 6