Answered

PLEASE HELP!!! does the relation in the table represent direct variation, inverse variation, or neither? if it is direct or inverse variation, write an equation to represent the situation. Explain your answer

x 5, 10, 15, 20

Y 2, 1, 2/3, 1/2

Verified Answer :

nobillionaireNobley

The relation represents an inverse variation because as the values of x is increasing the values of y is decreasing.

y = k/x
5 = k/2
k = 5 x 2 = 10

The required equation is y = 10/x

aksnkj

The given values are in inverse variation and can be represented by equation  \(y=\dfrac{10}{x}\).

Given values are,

x    \(5\)    \(10\)  \(15\)   \(20\)

y    \(2\)    \(1\)   \(\frac{2}{3}\)     \(\frac{1}{2}\)

Inverse variation:

A inverse variation can be represented by the equation \(xy=k\) or \(y=kx\).

That is, y varies inversely as x if there is some non zero constant k such that,

\(xy=k\)or \(y=kx\)

where x≠0,y≠0.

Since  \(xy=10\) in each case.

So here K will be 10.

Hence the required equation will be,\(y=\dfrac{10}{x}\).

For more details about inverse variation follow the link:

https://brainly.com/question/4838941

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