Question

X varies inversely as v, and x = 48 when v = 8. Find x when v = 64.

Answer 1

X=6... HOPE THAT HELPS

Answer 2

Answer:  the correct option is (B) x = 6.

Step-by-step explanation:  Given that x varies inversely as v and x = 48 when v = 8.

We are to find the value of x when v = 64.

Since x varies inversely as v, so we have

$x\propto\dfrac{1}{v}\\\\\\\Rightarrow x=k\dfrac{1}{v}~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}]$

When x = 48 and v = 8, then, we get

$48=\dfrac{k}{8}\\\\\Rightarrow k=48\times8\\\\\Rightarrow k=384.$

So,

$x=\dfrac{384}{v}~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, when v = 64, then from equation (i), we get

$x=\dfrac{384}{64}=6.$

Thus, the required value of x is 6.

Option (B) is CORRECT.