Mathematics: Gimme the answer for 10 points :)

Gimme the answer for 10 points :)

eduardo2433

02.04.2021

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)

$\dfrac{13.6}{32.64}=k$

$\dfrac{5}{12}=k$

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

$v=\dfrac{5}{12}x$

Therefore, the required formula that connecting v and x is $v=\dfrac{5}{12}x$ .

(b)

Putting v=n and x=8.16, we get

$n=\dfrac{5}{12}(8.16)$

n=3.4

Therefore, the value of n is 3.4.

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