Select the correct answer from each drop-down menu. Graph of proportional relationships. X-axis labeled Number of Plants. Y-axis labeled Number of Roses. Line begins from origin and goes through plotted closed points at (1, 5), (2, 10), (3, 15), (4, 20). According to the graph, the relationship between the number of rose plants and the number of roses is . Reset Next

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The relationship between the number of plants and the number of roses is a linear relationship.

What are the characteristics of a linear relationship?

The given points on the graph are;

(1, 5), (2, 10), (3, 15), (4, 20)

The difference between consecutive x-values is 1, which is constant;

2 - 1 = 3 - 2 = 4 - 3 = 1

Similarly, the difference between consecutive y-values is also a constant, 5;

10 - 5 = 15 - 10 = 20 - 15 = 1

The x-values are the x-coordinates of the points found by using the numbers along the X-axis, while the y-values are the y-coordinates of the points, corresponding to the numbers located along the y-axis

Given that the differences between consecutive terms of the x and y-values are constant, therefore;

  • The relationship between the Number of plants and the Number of Roses is a linear relationship.

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