9)
Which of the following represent inverse variation? Select all that apply.
(2 points)
Responses
x=9y
y=x/8
xy=12
y=4/x
y=−7x
Inverse variation is represented by the equation y = k/x, where k is a non-zero constant.
Therefore, the equations that represent inverse variation are:
1) y = 4/x
2) y = -7x
10)
Does the graph represent direct variation, inverse variation, or neither?
-0.1,10
Neither
Inverse Variation
Direct variation
To determine if the graph represents direct variation, inverse variation, or neither, we need to analyze the relationship between the x-values and y-values.
Direct variation is represented by the equation y = kx, where k is a constant. If the relationship between the x-values and y-values can be written in this form, then it represents direct variation.
Inverse variation is represented by the equation y = k/x, where k is a non-zero constant. If the relationship between the x-values and y-values can be written in this form, then it represents inverse variation.
If the relationship between the x-values and y-values cannot be written in either of these forms, then it represents neither direct nor inverse variation.
Without having any information about the relationship between the x-values and y-values in this specific graph, we cannot determine if it represents direct variation, inverse variation, or neither.
-0.1,10 0,1.9
To determine if the graph represents direct variation, inverse variation, or neither, we need to analyze the relationship between the x-values and y-values.
Direct variation is represented by the equation y = kx, where k is a constant. In direct variation, as x increases, y also increases or decreases in a proportional manner.
Inverse variation is represented by the equation y = k/x, where k is a non-zero constant. In inverse variation, as x increases, y decreases or increases in a proportional manner.
Looking at the given values (-0.1,10) and (0,1.9), we can calculate the ratio of y to x for both relationships:
For (-0.1,10): y/x = 10 / (-0.1) = -100
For (0,1.9): y/x = 1.9 / 0 = undefined
Since the first ratio (-100) is not equal to the second ratio (undefined), the relationship between the x-values and y-values does not fulfill either the conditions of direct variation or inverse variation. Therefore, the graph represents neither direct variation nor inverse variation.