Question

If $y=\frac{h}{x}$, where $h$ is a constant, and if $y=3$ when $x=4$, what does $y$ equal when $x=6$?

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B 2

Given, $y$ $=$ $\frac{h}{x}$, where ${}^{\prime }{h}^{\prime }$ is a constant

When $x$ $=$ $4$, $y$ $=$ $3$

Substituting above values in the given equation, we get ${}^{\prime }{h}^{\prime }$

$\Rightarrow y$ $=$ $\frac{h}{x}$

$\Rightarrow 3$ $=$ $\frac{h}{4}$

$\Rightarrow h$ $=$ $3$ $\times$ $4$

$\Rightarrow h$ $=$ $12$

Now, when $x$ $=$ $6$, $y$ $=$ $?$,

$\Rightarrow y$ $=$ $\frac{h}{x}$

$\Rightarrow y$ $=$ $\frac{12}{6}$

$\Rightarrow y$ $=$ $2$

Therefore, Value of ${}^{\prime }{y}^{\prime }$ is ${}^{\prime }{2}^{\prime }$ when $x$ $=$ $6$.