1. Time (days)Distance (meters) 00 675 The table shows the movement of a glacier over six days.

2. Calculate the average speed of the glacier in meters per day.

3. Define variables for the time and distance that the glacier moved. x = time in days y = distance in meters

4. Write an equation that shows the relationship between these variables.

5. If the glacier moved at a constant rate, how far would it have moved in 60 hours?

6. How long would it have taken the glacier to move 37.5 meters?

7. Complete the table. Time (days)Distance (meters) 0 75 3 31.25 6 0 37.5 2.5

8. 2 4 6 8 10 12 20 40 60 80 100 120 140 Label the axes and graph the points from the table. Does it make sense to connect the points?

9. 2 4 6 8 10 12 20 40 60 80 100 120 140 Time (days) Distance (meters)

10. Describe the type of function represented. It is a linear function.

11. Which is the independent variable? Which is the dependent variable? The time in days, x, is the independent variable. The distance in meters, y, is the dependent variable.

12. What is the slope? What is the y-intercept? Explain the meaning to each term for the problem situation. m = 12.5 which means the glacier’s speed is 12.5 meters per day. b = (0, 0) which means the distance was zero at the start of the timing.