The constant of proportionality of the graph shows how many centimeters a bamboo plant can grow and the number that the plant has been growing is 5.
We know that the constant of proportionality is nothing but the slope of the line.
The slope of the line is given by;
Slope = Change in y-coordinate / change in x-coordinate
We are given:
The numbers below are what the dots are plotted-
10, 50
20, 100
30, 150
40, 200
50, 250
Take any two points.
Let us choose (20, 100) and (30, 150).
Put the values in the slope formula;
Slope = (150 - 100) / (30 - 20) = 50 / 10 = 5
So, the slope of the line is 5.
Thus, the constant of proportionality of the graph shows how many centimeters a bamboo plant can grow and the number that the plant has been growing is 5.
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