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superchicken112
I found someone else who asked the same question and someone was able to answer it. Here's the link.

https://brainly.com/question/5029365

calculista

Answer:

[tex]y*x=20[/tex] or [tex]y=20/x[/tex]

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 [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

so

Find the value of k

For [tex](4,5)[/tex]

[tex]y*x=k[/tex] -----> [tex]5*4=k[/tex] ----> [tex]k=20[/tex]

For [tex](10,2)[/tex]

[tex]y*x=k[/tex] -----> [tex]2*10=k[/tex] ----> [tex]k=20[/tex]

The equation that represent an inverse variation is equal to

[tex]y*x=20[/tex] or [tex]y=20/x[/tex]

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