The cost to manufacture a waterbottle is a proportional relationship. This relationship is shown in the table. bottles manufactured (x) 0 25 50 100 cost in dollars (y) 0 20 40 80 What is the constant of proportionality for the data in the table?

Answer 1

To find the constant of proportionality, we need to determine the ratio of the cost to the number of bottles manufactured.

The ratio of the cost to the number of bottles manufactured remains constant in a proportional relationship.

Let's calculate the ratio for the given data:

For x = 0, y = 0, the ratio is 0/0, which is undefined.

For x = 25, y = 20, the ratio is 20/25 = 0.8.

For x = 50, y = 40, the ratio is 40/50 = 0.8.

For x = 100, y = 80, the ratio is 80/100 = 0.8.

As we can see, the ratio of the cost to the number of bottles manufactured is always 0.8.

Therefore, the constant of proportionality for the data in the table is 0.8.