Question

Which equation represents an inverse variation function that passes through the point (4,5) and (10,2)

Answer 1

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Answer 2

Answer:

$y*x=20$ or $y=20/x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

so

Find the value of k

For $(4,5)$

$y*x=k$ -----> $5*4=k$ ----> $k=20$

For $(10,2)$

$y*x=k$ -----> $2*10=k$ ----> $k=20$

The equation that represent an inverse variation is equal to

$y*x=20$ or $y=20/x$