x y
2 12
3 8
4 6
10 125
4.)Is the data in the table a direct variation or an inverse variation? Write an equation to model the data in the table.
can some one explain the steps to me so i may get this answer plz
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OpenStudy (anonymous):
@iGreen
OpenStudy (igreen):
Do you know what direct and inverse variation is?
OpenStudy (anonymous):
no
OpenStudy (igreen):
Direct variation means that when you multiply something to 'x', you get 'y'.
OpenStudy (igreen):
Inverse variation means that when you divide something by 'x', you get 'y'.
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OpenStudy (igreen):
So is something being divided here or multiplied?
OpenStudy (igreen):
What's 12 / 6? @nemoo112233
OpenStudy (anonymous):
2
OpenStudy (igreen):
Yep, and what's 8 / 3?
OpenStudy (anonymous):
2.6?
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OpenStudy (igreen):
Yes, since 2 and 2.6 aren't the same, we know that this isn't a direct variation, so it must be an inverse variation.
Check:
2 * 12 = 24
3 * 8 = 24
4 * 6 = 24
So it's an inverse variation. \(\Large\color{lime}\checkmark\)
OpenStudy (igreen):
Welcome to Open Study!
You can give medals by clicking 'Best Response'. @nemoo112233