[size=150]Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks [math]\frac{1}{4}[/math] ounce per second. Diego starts with 20 ounces and drinks [math]\frac{2}{3}[/math] ounce per second.[/size][size=150][size=100][br][br]How long will it take Lin and Diego to finish their milkshakes?[/size][/size]

[size=150][size=100]Without graphing, explain what the graphs in this situation would look like. Think about slope, intercepts, axis labels, units, and intersection points to guide your thinking.[/size][br][br][/size]Discuss your description with your partner. If you disagree, work to reach an agreement.

[size=150][size=100]There is a hiking trail near the town where Han and Jada live that starts at a parking lot and ends at a lake. Han and Jada both decide to hike from the parking lot to the lake and back, but they start their hikes at different times.[br][br]At the time that Han reaches the lake and starts to turn back, Jada is 0.6 miles away from the parking lot and hiking at a constant speed of 3.2 miles per hour toward the lake. Han’s distance, [math]d[/math] from the parking lot can be expressed as [math]d=-2.4+4.8[/math], where  represents the time in hours since he left the lake.[br][br]What is an equation for Jada’s distance from the parking lot as she heads toward the lake?[/size][/size]

[size=150][size=100]Find the point where the two graphs intersect each other. What are the coordinates of this point?[/size][/size]

[size=150][size=100]What do the coordinates mean in this situation?[/size][/size]

[size=150][size=100]What has to be true about the relationship between these coordinates and Jada’s equation?[/size][/size]

[size=150][size=100]What has to be true about the relationship between these coordinates and Han’s equation?[/size][/size]

[size=150][size=100]For what number of cups will the two stacks have the same height?[/size][/size]