Question

Gimme the answer for 10 points :)

Answer 1

Given:

The table of values.

v and x are in direct proportion.

To find:

The formula connecting v and x.

Solution:

(a)

v and x are in direct proportion.

`v\propto x`

`v=kx` ...(i)

Where, k is the constant of proportionality.

Putting v=13.6 and x=32.64, we get

`13.6=k(32.64)`

`(13.6)/(32.64)=k`

`(5)/(12)=k`

Putting the value of k in (i), we get

`v=(5)/(12)x`

Therefore, the required formula that connecting v and x is
`v=(5)/(12)x`.

(b)

Putting v=n and x=8.16, we get

`n=(5)/(12)(8.16)`

`n=3.4`

Therefore, the value of n is 3.4.