The figure below is the graph of the dimensions of a rectangle whose adjacent side lengths exhibit inverse variation: True.
An inverse variation can be defined as a type of proportionality which shows the relationship between two (2) variables, wherein, as the value of one variable increases, the value of the other variable decreases.
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
Based on the graph, we can infer and logically deduce that there is an inverse variation between the height and width of this rectangle because they are inversely proportional.
Height ∝ 1/w
Height = k/width
k = Height × width
At point (1, 4), we have:
k = 4 × 1
k = 4.
At point (2, 2), we have:
k = 2 × 2
k = 4.
At point (8, 0.5), we have:
k = 0.5 × 8
k = 4.
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