The value of y when x=4 if there is a direct relationship is 96.
What is the value of y?
y = k × x²
Where,
k = constant of proportionality
When y= 24, x= 2
y = k × x²
24 = k × 2²
24 = k × 4
24 = 4k
Divide both sides by 4
k = 24/4
k = 6
Therefore, y when x=4
y = k × x²
= 6 × 4²
= 6 × 16
y = 96