To write a function rule that models the amount of pet food remaining in an automatic feeder based on the number of meals it has dispensed, we need to understand the relationship between the two variables.
Assuming we have the following information:
- Let \( x \) be the number of meals dispensed.
- Let \( y \) be the amount of pet food remaining in cups.
If we know how much food is dispensed per meal and how much food the feeder started with, we can express this relationship mathematically.
- Initial amount of food: Assume the feeder starts with \( C \) cups of food.
- Amount of food per meal: Assume the feeder dispenses \( c \) cups of food per meal.
Then, the amount of food remaining after \( x \) meals can be modeled as follows:
\[ y = C - c \cdot x \]
Where:
- \( y \) = remaining food in cups.
- \( C \) = initial amount of pet food in cups.
- \( c \) = cups of pet food dispensed per meal.
- \( x \) = number of meals dispensed.
If you provide specific values for the initial amount of food and the amount dispensed per meal, we can replace \( C \) and \( c \) with those values to create a more specific function rule.
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