Test Index

JAMB Mathematics 2024 Paper

Question : 39

Total: 50

Solution:

Concept:

Direct variation involving a square root gives the equation

U = k\sqrt{V}

, where

k

is the constant of variation.

Explanation:

Substitute the first pair of values:

U = 24

V = 9

24 = k\sqrt{9}

Since

\sqrt{9} = 3

, we get

24 = 3k

Divide both sides by 3, so

k = 8

The relationship is now

U = 8\sqrt{V}

When

U = 16

, substitute:

16 = 8\sqrt{V}

Divide both sides by 8:

2 = \sqrt{V}

Square both sides:

V = 4

Answer:

V = 4

, so the correct option is B.

Go to Question:

Prev Question

Next Question