Question

If v is directly proportional to w and v=50 when w==16 find o the formular connecting v and w

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

$\displaystyle \sf The \: formulae \: connecting \: v \: and \: w \: is \: \: \: \bf v = \frac{25}{8} w$

Given :

• v is directly proportional to w

• v = 50 when w = 16

To find :

The formulae connecting v and w

Solution :

Step 1 of 2 :

Find the equation

Here it is given that v is directly proportional to w

$\sf v \propto w$

$\displaystyle \sf{ \implies }v = kw \: \: \: - - - (1)$

Where k is constant of variation

Step 2 of 2 of :

Find the formulae connecting v and w

v = 50 when w = 16 gives

$\displaystyle \sf 50 = k \times 16$

$\displaystyle \sf{ \implies }k = \frac{50}{16}$

$\displaystyle \sf{ \implies }k = \frac{25}{8}$

Putting the value of k in Equation 1 we get the formulae connecting v and w is

$\boxed{ \: \: \displaystyle \sf{ }v= \frac{25}{8} w \: \: }$

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