The cost of the manufacture a water bottle is a proportional relationship this relationship is shown in the table
X 0 , 25,50 100
Y 0,20,40,80
What is the constant of proportionality for the data table
To find the constant of proportionality, we need to divide the values of Y by the corresponding values of X in the table.
For X = 25, Y = 20 => Y/X = 20/25 = 0.8
For X = 50, Y = 40 => Y/X = 40/50 = 0.8
For X = 100, Y = 80 => Y/X = 80/100 = 0.8
Since the ratio Y/X is the same for all values of X, the constant of proportionality is 0.8.
To find the constant of proportionality, we can compare the values of X and Y in the table. The constant of proportionality represents the ratio between the X and Y values.
Let's calculate the ratios between the values of X and Y:
For X = 25: Y = 20 -> X/Y = 25/20 = 1.25
For X = 50: Y = 40 -> X/Y = 50/40 = 1.25
For X = 100: Y = 80 -> X/Y = 100/80 = 1.25
By observing the ratios, we can see that the value remains constant at 1.25. Therefore, the constant of proportionality for the data table is 1.25.
To find the constant of proportionality for the given data table, we need to determine how the values of Y are related to the values of X. In a proportional relationship, the ratio of corresponding Y and X values should be constant.
Let's calculate the ratio Y/X for each pair of values in the table:
For X = 0, Y = 0, so Y/X = 0/0 = undefined.
For X = 25, Y = 20, so Y/X = 20/25 = 0.8.
For X = 50, Y = 40, so Y/X = 40/50 = 0.8.
For X = 100, Y = 80, so Y/X = 80/100 = 0.8.
As we can see, the ratios Y/X for all three pairs of values are equal to 0.8. Therefore, the constant of proportionality for the data table is 0.8.