Question

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

Question 17 options:

x = 8

x = 6

x = 64

x = 48

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(1)/(v)\\\\\\\Rightarrow x=k(1)/(v)~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}]`

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

`48=(k)/(8)\\\\\Rightarrow k=48*8\\\\\Rightarrow k=384.`

So,

`x=(384)/(v)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

`x=(384)/(64)=6.`

Thus, the required value of x is 6.

Option (B) is CORRECT.