Form 13: Analyzing Rates of Change from Tables and Graphs

Questions

1. MultiChoice

   Table: (1 hour, 12 miles), (2 hours, 24 miles), (3 hours, 36 miles). What is the rate of change in miles per hour?

2. MultiChoice

   Graph shows total cost ($) vs number of books. Points are (1, 8), (2, 16), (3, 24). What is the unit rate?

3. MultiChoice

   Table: (2 gallons, 60 miles), (4 gallons, 120 miles). What is the miles per gallon rate?

4. MultiChoice

   Line on a graph goes through (0,0) and (5, 25). What is the unit rate (y/x)?

5. MultiChoice

   If y = 9x represents total cost for x items, what is the rate of change of y with respect to x?

6. MultiChoice

   Table: (3 workers, 15 rooms painted). If y = 5x, what is the unit rate of rooms per worker?

7. MultiChoice

   Graph plots hours (x) vs pages read (y). Point (2, 50) is on line passing through (0,0). What is pages per hour?

8. MultiChoice

   Table: (x=4, y=36), (x=8, y=72). What is the constant rate of change y/x?

9. MultiChoice

   Equation: y = 25x where x is gallons and y is miles. What is the unit rate?

10. MultiChoice

    Graph plots juice boxes (x) vs total calories (y). Line passes through (1, 70). What is the rate of change?

11. MultiChoice

    Table: (1 min, 80 words), (2 min, 160 words). Rate of typing in words per minute?

12. MultiChoice

    Graph passes through (0,0) and (4, 32). What is the constant multiplier k in y = kx?