he cost to manufacture a water bottle is a proportional relationship. This relationship is shown in the table.
Bottles Manufactured (x) Cost in Dollars (y)
0 0
25 20
50 40
100 80
What is the constant of proportionality for the data in the table?
A.
1.25
B.
0.80
C.
0.90
D.
0.25
To find the constant of proportionality, we need to calculate the cost per bottle for each scenario.
Cost per bottle = Cost / Bottles Manufactured
For the first scenario:
Cost per bottle = 0 / 0 = 0
For the second scenario:
Cost per bottle = 20 / 25 = 0.8
For the third scenario:
Cost per bottle = 40 / 50 = 0.8
For the fourth scenario:
Cost per bottle = 80 / 100 = 0.8
The cost per bottle is constant at $0.80. Therefore, the constant of proportionality is 0.80, which corresponds to option B.