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?

f(n) = -3n + 24

Step-by-step explanation:

Let the function representing Number of meals and amount of Pet Food remaining is,

f(n) = an + b

Where a = number of meals dispensed

n = amount of Pet food per meal

b = Initial amount of Pet food

From the table attached,

For n = 1 and f(n) = 21,

21 = a(1) + b

a + b = 21 (1)

For n = 3 and f(n) = 15,

15 = a(3) + b

3a + b = 15 (2)

Equation (2) - equation (1),

(3a + b) - (a + b) =  15 - 21

a = -3

From equation (1),

-3 + b = 21

b = 24

Therefore, function will be,

f(n) = -3n + 24

whatare you sayig

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d