Last Monday, two law students met up at Café Literatura after school to read the pages they were assigned in the Legal Methods class. Alejandro can read 1 page per minute, and he has read 28 pages so far. Carly, who has a reading speed of 2 pages per minute, has read 12 pages so far. Part A: Define the variables and write two equations to represent the number of pages that each student read.

Variables:

Alejandro:

Carly:

Part B: Represent the two equations on the graph below.

Part C: What is the rate of change for each student?

Part D: What does the rate of change represent in this situation?

Part E: What is the y-intercept for Alejandro? What does it represent?

Part F: What is the y-intercept for Carly? What does it represent?

Part G: Give an example when Alejandro has read more pages than Carly. Justify your answer.

Part H: Use the substitution method to determine when Alejandro and Carly have read the same amount of pages.