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If the values in the table below model a proportional relationship, what is the equation for the function?

If The Values In The Table Below Model A Proportional Relationship What Is The Equation For The Function class=

Sagot :

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]     ...(i)

where, k is the constant of proportionality.

From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).

Putting x=2 and y=1 in (i), we get

[tex]1=k(2)[/tex]

[tex]\dfrac{1}{2}=k[/tex]

Putting [tex]k=\dfrac{1}{2}[/tex], we get

[tex]y=\dfrac{1}{2}x[/tex]

Therefore, the correct option is A.

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