To find the equation of the proportional relationship through the origin, we need to find the constant of proportionality, which is the ratio of the y-values to the x-values for any two points on the graph.
Let's consider the points (1,9) and (2,18). The ratio of the y-values to the x-values is 18/9 = 2/1 = 2.
Similarly, for the points (2,18) and (3,27), the ratio of the y-values to the x-values is 27/18 = 3/2 = 1.5.
Finally, for the points (3,27) and (4,36), the ratio of the y-values to the x-values is 36/27 = 4/3 = 1.33.
Since the ratios are not the same for the different point pairs, it means that the relationship is not directly proportional. Therefore, there is no equation of the proportional relationship through the origin for this graph.
he price for footballs is displayed in the graph. Derive the equation of the proportional relationship through the origin.
graph proportions; (1,9), (2,18), (3,27) and (4,36)
2 answers
the price for football is displayed in the graph. Derive the equation of the proportional relationship through the origin