Question

X varies directly as Y. If X = 5 when Y = 25, then find the constant of variation.

• A. 0.2
• B. 0.25
• C. 0.5
• D. 0.75

Answer 1

The correct option is A 0.2

Let the constant of variation be k.
Given, X varies directly as Y.
$\Rightarrow X\propto Y$
$\Rightarrow X=kY$
Given, at X = 5, Y = 25.
$So,k=\frac{X}{Y}=\frac{5}{25}=\frac{1}{5}=0.2$