Question

If $x=y^2$ and $y=\frac{5}{k}$, find the value of $x$ when $k=\frac{1}{2}$.

• A. $2.50$
• B. $3.16$
• C. $6.25$
• D. $20.00$
• E. $100.00$

Answer 1

The correct option is E $100.00$

Given $x=y^2$ and $y=5/k$

Substituting $y=\frac{5}{k}$ in $x=y^2$, we get,

$x={\left(\frac{5}{k}\right)}^2$

Now when $k=\frac{1}{2}=0.5$, we get $x={\left(\frac{5}{0.5}\right)}^2=100.0$

$\therefore x=100.0$