The option that describes the graph of the proportional relationship is the option;
A proportional relationship is one in which one variable in the relationship is a constant multiple of the other variable.
The table of values can be presented as follows;
x; 15 9 21
y; 5 3 7
The domain of the function is therefore; 15, 9, 21
The range of the function is therefore; 5, 3, 7
The coordinates of points on the graph of the function is therefore;
(15, 5), (9, 3), (21, 7)
The relationship between the xi and y-values of the function is therefore;
5/15 = 3/9 = 7/21 = 1/3
The constant of proportionality in the relationship is 1/3
The relationship is therefore a proportional relationship.
The characteristics of the graph of a proportional relationship includes;
The graph passes through the origin, (0, 0).
The correct option that therefore describes the graph is the option;
A line passes through the point (0, 0), and continues through the point (15, 5)
Learn more about the graph of proportional relationship equations here:
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