Question

Y is directly proportional to (x-4) when x = 16, y = 3 find y in terms of x

Answer 1

Answer:

y= 3/16 x

Step-by-step explanation:

y=k x

3=k*16

divide both sides by 16

k=3/16

y=3/16x

Answer 2

The value of y in terms of x is $\displaystyle \sf{ y = \frac{1}{4}(x - 4) }$

Given :

• y is directly proportional to (x-4)
• x = 16 , y = 3

To find : The value of y in terms of x

Solution :

Step 1 of 3 :

Write down the given data

y is directly proportional to (x-4)

∴ y ∝ (x-4)

⇒ y = k(x - 4) - - - - - (1)

Step 2 of 3 :

Find the value of k

x = 16 , y = 3 gives

3 = k(16 - 4)

$\displaystyle \sf{ \implies 12k = 3}$

$\displaystyle \sf{ \implies k = \frac{3}{12} }$

$\displaystyle \sf{ \implies k = \frac{1}{4} }$

Step 3 of 3 :

Find the relation

From Equation 1 Putting the value of k we get

The relation obtained is

$\displaystyle \sf{ y = \frac{1}{4}(x - 4) }$

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