Question

The Elsie Dairy uses a machine that fills 28 cartons of milk an hour. What is the constant of proportionality? Show your work.

Answer 1

The constant of proportionality is 28 cartons per hour.

Step-by-step explanation:

The constant of proportionality can be found by dividing the number of cartons of milk filled by the number of hours. In this case, the machine fills 28 cartons of milk an hour. So, the constant of proportionality is 28 cartons per hour.

Answer 2

the constant of proportionality (k) is 28 cartons per hour. This means that for every hour the machine operates, it fills 28 cartons of milk.

The constant of proportionality relates two quantities that are directly proportional to each other. In this case, the number of cartons of milk filled is directly proportional to the time it takes to fill them. This constant of proportionality can be found by dividing the total number of cartons filled by the total time (in hours) it takes to fill them.

Given:

- The machine fills 28 cartons of milk in 1 hour.

To find the constant of proportionality (k), we use the formula:

`\[ k = \frac{\text{Number of cartons}}{\text{Time in hours}} \]`

Plugging the given numbers into the formula, we get:

`\[ k = \frac{28 \text{ cartons}}{1 \text{ hour}} \]`

Therefore, the constant of proportionality (k) is 28 cartons per hour. This means that for every hour the machine operates, it fills 28 cartons of milk.