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PSYCHO15rus [73]
3 years ago
14

I need help with prob #2 on this

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

<em>x and y are not in direct variation.</em>

Step-by-step explanation:

<u>Direct Variation</u>

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:

\displastyle k=\frac{y}{x}

Let's substitute the given points in the table:

<em>(2,8)</em>

\displastyle k=\frac{8}{2}=4

k = 4

<em>(4,16)</em>

\displastyle k=\frac{16}{4}=4

k = 4

<em>(6,30)</em>

\displastyle k=\frac{30}{6}=5

k = 5

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

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