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.

Based on the table, which function models this situation?

Answer 1

Answer:f(n)=-3+24

Explanation

Unit rate of the table is three therefore taking away 3 cups each time food is dispensed aka -3n. 24 represents the starting point. 21+3=24

Answer 2

f(n) = -3n + 24

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