he cost to manufacture a water bottle is a proportional relationship. This relationship is shown in the table.

Question

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

Answer 1

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.