There is a drink machine that sells 20 oz bottles of cola, diet cola, ginger ale, root beer, and orange soda for $1.50.  If the money put in is the input, is this drink machine a function or not? 

Yes, this drink machine is a function.

In mathematics, a function is defined as a relationship between a set of inputs and a set of possible outputs, where each input is related to exactly one output.

In this case:

- **Input:** The amount of money put into the machine (e.g., $1.50).
- **Output:** The type of drink selected (cola, diet cola, ginger ale, root beer, or orange soda).

For every input of $1.50, the machine allows you to select exactly one drink. Even though there are multiple drink options, you can only choose one drink per $1.50 input, which means that each input corresponds to a single output. This satisfies the definition of a function.

Would you like more details on this explanation, or do you have any other questions?

### Related Questions:
1. What would happen if the machine gave two drinks for $1.50? Would it still be a function?
2. How does the concept of a function apply to real-world scenarios like vending machines?
3. Can you give an example of a real-world scenario that is **not** a function?
4. If you input a different amount of money (e.g., $2.00), how would that affect whether the machine is a function?
5. How does the concept of one-to-one and onto functions relate to this drink machine scenario?

### Tip:
In mathematics, functions are often visualized using graphs. A vending machine analogy can be thought of as a simple visual or real-world example to help understand the concept of functions.

Explore the concept of functions using a drink machine example. Understand how inputs (amount of money) correspond to outputs (types of drinks) in this scenario. Suitable for Grades 6-8 mathematics curriculum.

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