The equations that represent inverse variation are:
1) y=4x
2) y=−7x
3) x=9y
4) xy=12
So, all of the given equations represent inverse variation.
(2 points)
Responses
y=4x
y=−7x
x=9y
y=x8
xy=12
1) y=4x
2) y=−7x
3) x=9y
4) xy=12
So, all of the given equations represent inverse variation.
is
y = 12 / x
which is an inverse relationship.
Let's analyze each equation:
1. y = 4x: This equation is not in the form y = k/x, so it does not represent inverse variation.
2. y = -7x: This equation is not in the form y = k/x, so it does not represent inverse variation.
3. x = 9y: This equation can be rearranged to y = 1/9x, which is in the form y = k/x. Therefore, this equation represents inverse variation.
4. y = x^8: This equation is not in the form y = k/x, so it does not represent inverse variation.
5. xy = 12: This equation can be rearranged to y = 12/x, which is in the form y = k/x. Therefore, this equation represents inverse variation.
From the analysis above, equations 3 (x = 9y) and 5 (xy = 12) represent inverse variation.