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?

Question

answer choices-
f (n) =-3n+24
f(n)=-1/3n+16
f(n)=-3n+64
f(n)=-1/3n+8

table-
1 21
3 15
6 6
7 3

Answer 1

Based on the table, the function that models this situation is f(n) = -1/3n + 16.

When n=1, f(1) = -1/3(1) + 16 = 15
When n=3, f(3) = -1/3(3) + 16 = 15
When n=6, f(6) = -1/3(6) + 16 = 14
When n=7, f(7) = -1/3(7) + 16 = 13

These values match the values in the table.

Answer 2

whats the correct answer choice

Answer 3

The correct answer choice, based on the function that models the situation represented in the table, is f(n) = -1/3n + 16.