1 Answer

Sportzpikachu · Answer 1 · 2022-11-07T02:06:43+0000

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

If y is directly proportional to x, then

$y\propto x$

y=kx ...(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

1=k(2)

(1)/(2)=k

Putting
k=(1)/(2) , we get

y=(1)/(2)x

Therefore, the correct option is A.

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