Question

y varies directly as square root of x. When x = 16, y = 24. Find the constant of variation.

• A. k = 9
• B. k = 3
• C. k = 5
• D. k = 6

Answer 1

The correct option is D k = 6

Given: $y\alpha \sqrt{x}$
$\Rightarrow y=k\sqrt{x}$
Given: $x=16,y=24$
$\Rightarrow 24=k\sqrt{16}$
$\Rightarrow 24=k\left(4\right)$
$\Rightarrow k=6.$