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.
num of meals dispensed , n | amount of pet food remaining, f(n) (cups)
1 | 21
3 | 15
6 | 6
7 | 3


Based on the table, which function models this situation?



(1 point)

f(n)=−3n+24


f(n)=−(1/3)n+16


f(n)=−3n+64


f(n)=−(1/3)n+8

Answer 1

f(n) = −3n + 24

Reason: slope = (15−21)/(3−1) = −6/2 = −3. Using (1,21): 21 = −3(1) + b → b = 24, so f(n) = −3n + 24.