Question

please help me with this question by step by step please ​

Answer 1

Answer:

3x

Step-by-step explanation:

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Answer 2

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Step-by-step explanation:

1.What is Constant?

Constant or (K) for short is a value which is same for every point in direct and inverse variation

2.Direct Variation

Now in Direct Variation Both the Numbers expand equally for example:

1/8 = 12/96

How?

Here, 1x8=8 and 12x8= 96

so 8 is the constant

3.How to find value of a constant in direct variation?

There is a formula

X ∝ Y

Therefore: X= KxY

= X/Y

Sum Example:

X=3 Y= 6

X ∝ Y

Therefore: X= KxY

Therefore: 3= Kx6 [We don't know Constant Yet]

Therefore: 3/1 X 6/1 [ We do Cross multiplication]

= 1 and 1 are excluded ( cause common

= 3 x 2 = 6 in both)

Equation of Variation: X= KxY

therefore: X= 2*Y

Answer: So we get 2 as Constant

( Remember Constant is different in every

sum so find it out and then proceed)