A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick Let y represent the ice sheet's thickness (in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks. y=

Given:

Initial ice sheet's thickness = 2 meter

After 3 weeks, the ice sheet's thickness = 1.25 meters

To find:

The equation for the relationship between the thickness and number of weeks.

Solution:

Let y represent the ice sheet's thickness (in meters) after x weeks.

Initial ice sheet's thickness = 2 meter

It means, the equation of relation must be satisfy by the point (0,2).

After 3 weeks, the ice sheet's thickness = 1.25 meters

It means, the equation of relation must be satisfy by the point (3,1.25).

If a linear function passes through two points, then the equation is

Add 2 on both sides.

Therefore, the required equation for the given relation is .

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068