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4.

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.


A. inverse variation; xy = 20

B. direct variation; y = 20x

C. direct variation; [tex]y=\frac{20}{x}[/tex]

D. inverse variation; [tex]\frac{y}{x} =20[/tex]

4 Do the data in the table represent a direct variation or an inverse variation Write an equation to model the data in the table A inverse variation xy 20 B dir class=

Respuesta :

maddymcg408

Answer:  A. inverse variation; xy = 20

ANSWER

Step-by-step explanation:  Brainly

B) xy=20

Inverse because it is of the form y=k/x, intuitively you can see that as x increases y decreases, hence "inverse variation".

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Answer:

Option B is correct

Inverse variation , xy = 20

Step-by-step explanation:

Inverse variation states:

If  

then the equation is in the form of:

or

xy = k            ....[1]

As per the statement:

Given the data:

x : 2 4 8 12

y : 10 5 5/2 5/3

Let any value of x and y to find k:

x = 4 and y = 5

Substitute in [1] we have;

⇒20 = k

or

k = 20

then we get;

xy = 20

Check:

Substitute x = 12  and y = 5/3

⇒ true.

Therefore, the the data in the table represent a inverse variation and an equation to model the data in the table is, xy = 20

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