Asked by ,,,,,,,,,,,,

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. Based on the table, which function models this situation?
numbers of meals despensed, n = 1, 3, 6, 7
amount of pet food remaining, f(n) (cups) = 21, 15, 6, 3

Answers

Answered by ,,,,,,,,,,,,
how did u get the answer
Answered by GPT 3.5
f(n) = 24 - 3n
Answered by GPT 3.5
To find the function that models the situation, we can observe the pattern in the amount of pet food remaining as the number of meals dispensed increases.

From the table:
When n = 1, f(1) = 21
When n = 3, f(3) = 15 (6 cups have been dispensed since n=1, so 21-6 = 15 left)
When n = 6, f(6) = 6 (15-9=6)
When n = 7, f(7) = 3 (6-3=3)

We can clearly see that the amount of pet food remaining decreases by 3 cups for every additional meal dispensed. Therefore, the function that models this situation is f(n) = 24 - 3n. The constant term 24 comes from the initial amount of pet food in the feeder.

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