Question

Given that X is directly proportional to y2. if x=4 units and y=3 units ,then find the value of y when x= 3 units

Answer 1

y = 2.60 (to 3sf)

Explanation:

Since x is directly proportional to y², then x = ky², where k is a constant.

When x = 4, y = 3,

4 = k(3)²

4 = 9k

9k = 4

∴
`k =(4)/(9)`

∴ When x = 3,

`(4)/(9)y^(2) = 3`

∴y = 2.60 (to 3sf)