Question

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)
21
15
6
3

Based on the table witch function models this situation

Answer 1

f(n) = 24 − 3n

Reason: the amount drops by 3 cups per meal (21→15 in 2 meals is −6, 15→6 in 3 meals is −9, etc.), so it's linear with slope −3. With n=1 giving 21, the intercept is 24. (Domain: integer n ≥ 0, and until the feeder is empty at n = 8.)