Question

Please I need the answer only​

Answer 1

w = 1.6

Explanation:

Given w varies inversely as
`√(x)` then the equation relating them is

w =
`(k)/(√(x) )` ← k is the constant of variation

To find k use the condition when x = 4, w = 4

k = w
`√(x)` = 4 ×
`√(4)` = 4 × 2 = 8

w =
`(8)/(√(x) )` ← equation of variation

When x = 25, then

w =
`(8)/(√(25) )` =
`(8)/(5)` = 1.6