## This student likes to mix Dr. Pepper with Lemonade. What questions do you have?

### Act 1 video

This activity is designed to lead students to connect the graph of a proportional relationship to a linear inequality. There are two important questions

- If the student fills the cup, what amounts of Dr. Pepper and what amounts of Lemonade are possible?
- If the student does not fill the cup, what amounts of Dr. Pepper and what amounts of Lemonade are possible?”

### What information do you need?

### Act 2 size of cup

Comments: Students plot possible combinations of 8 oz. as points on a line. Students then discover that if the cup is not full, solutions are a region under the line in the first quadrant.

Extensions: What if a third flavor was added to the mix? How could we graph 3 flavors related to each other (3D graphing). If the cup overflowed, how would that change the graph? (Solutions would be above the line.) What is/are the domain(s), range(s)?