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mezya [45]
3 years ago
5

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

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

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)

\dfrac{1}{2}=k

Putting k=\dfrac{1}{2}, we get

y=\dfrac{1}{2}x

Therefore, the correct option is A.

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