Question

If $x=6$ when $y=5$ and $x$ varies directly as $y$, calculate the value of $x$, when $y=2$.

• A. $1.6\overline{7}$
• B. $2.4$
• C. $7.5$
• D. $15$
• E. $60$

Answer 1

The correct option is B $2.4$

Given, $a$ varies directly as $b$

If $a=6$ when $b=5$

If value of $b=12$

Then value of $b$ varies $5$ to $2$

So, value of $a$ varies $5$ to $\frac{6\times 2}{5}=2.4$