aryajbond
Answered

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i need help with prob #2 on this

I Need Help With Prob 2 On This class=

Sagot :

elcharly64

Answer:

x and y are not in direct variation.

Step-by-step explanation:

Direct Variation

Two variables x and y have a direct proportion or variation if:

y = k.x

Where k is the factor of proportionality. The value of k must be constant for every ordered pair (x,y). If only one of them does not have the very same k, then the relationship is not direct.

The value of k can be solved from the equation:

[tex]\displastyle k=\frac{y}{x}[/tex]

Let's substitute the given points in the table:

(2,8)

[tex]\displastyle k=\frac{8}{2}=4[/tex]

k = 4

(4,16)

[tex]\displastyle k=\frac{16}{4}=4[/tex]

k = 4

(6,30)

[tex]\displastyle k=\frac{30}{6}=5[/tex]

k = 5

Since the value of k is not constant, then x and y are not in direct variation.

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