Nathan has joined the Frequent Coffee Buyer program with a local cafe. The program costs $15 per month which allows him to get a discounted coffee price of $1.5 per cup. Answer the questions below regarding the relationship between the of number of cups of coffee purchased and the total monthly cost.
Answer
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The independent variable, x, represents the 
, and the dependent variable is the 
, because the 
 depends on the 
.


In this scenario:

- The independent variable, $ x $, represents **the number of cups of coffee purchased**.
- The dependent variable is **the total monthly cost**.
- This is because **the total monthly cost** depends on **the number of cups of coffee purchased**.

Would you like to dive deeper into this problem or have any additional questions?

Here are five questions that could expand on this:

1. What would be the total cost if Nathan buys 20 cups of coffee in a month?
2. How would the total cost change if the program fee increased to $20 per month?
3. If Nathan buys no coffee in a month, what would his total cost be?
4. What is the equation that relates the number of cups to the total monthly cost?
5. How many cups of coffee would Nathan need to buy for his total cost to equal $30?

**Tip:** Independent variables are often inputs or choices, while dependent variables are outcomes or results determined by those choices.

Nathan has joined the Frequent Coffee Buyer program with a local cafe. The program costs $15 per month which allows him to get a discounted coffee price of $1.5 per cup. Answer the questions below regarding the relationship between the number of cups of coffee purchased and the total monthly cost.

Explore the relationship between the number of cups of coffee purchased and the total monthly cost in a Frequent Coffee Buyer program. Learn how to calculate total costs using linear cost functions, suitable for students in Grades 6-8.

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