Question

Find and describe the rate of change of the function.
The rate of change is
a decrease -4 . It represents in the amount of milk in the container for each batch of atole made.
Find and describe the initial value of the function.
The initial value is 16
The container starts with 16 cups of milk.
Write an equation to represent the cups of milk left in the container, y.
+
C
y
=
÷
2
-4
16
=

Answer 1

Let x = number of batches of atole made (x ≥ 0). Then the cups of milk remaining y is

y = 16 − 4x (or y = −4x + 16).

Explanation:
- Rate of change: −4 — the milk decreases by 4 cups for each batch.
- Initial value: 16 — there are 16 cups of milk before any batch (x = 0).

The container is empty when 16 − 4x = 0 → x = 4 (after 4 batches).