The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.


Number of meals dispensed, n:1,3,6,7

Amount of pet food remaining, f (n) (cups):21,15,6,3


Based on the table, which value represents the rate of change
for this situation?

1 answer

The rate of change in this situation can be represented by the difference in the amount of pet food remaining between consecutive meals.

- Between meals 1 and 3: 21 cups - 15 cups = 6 cups
- Between meals 3 and 6: 15 cups - 6 cups = 9 cups
- Between meals 6 and 7: 6 cups - 3 cups = 3 cups

Therefore, the rate of change for this situation can be represented as 6 cups, 9 cups, and 3 cups between meals 1 and 3, 3 and 6, and 6 and 7, respectively.