1. Variations
and
Formulas
Review

2. 15.

5. 16.

9. 17.

10. 16.

13. 17.

15. 18.

19. 13.

20. 14.

22. 15.

24. 16.

26. 16.

29. 17.

30. 18.

33. The following graphs represent these relationships:

35. A) Identify the options that is a partial variation. (0.5 mark)
Answer:
Mason Hall, the line starts at 200 rather than 0.
B) Identify which option Carla should choose based on cost and the
number of people. Justify your answer.
Answer:
If more than 50 people Carla should choose Mason hall because the cost
will be less than Sparrow Hall.

36. 15. Describe a direct variation and a partial variation. Support your
description with an example OR a graph (sketch) for each type
of variation.
P = r x h P = rxh + 50

37. 16. Jocelyn is planning to install high speed Internet service for her home computer.
One Internet provider offers the high­speed service for $25 for the first 30 hours
c
plus 95 for each additional hour. Express the Internet service cost as an equation
and define the variables. Assume Jocelyn will always use more than 30 hours each
month.
Variables: C: represents Cost
h: represents hours of usage
C = 25 + 0.95(h ­ 30)
OR
Variables: C: represents Cost
h: represents hours of usage over 30
C = 25 + 0.95h

38. 17. A beach ball has a diameter of 1 meter. Show the calculation of:
A) The surface area of the beach ball. (1.5 marks)
2
SA = 4 (r)
2
= 4 (0.5)
2
= 3.14 m

39. B) The volume of the beach ball. (1 mark)
3
4
V = (r)
3
3
4
= (0.5)
3
3
= 0.52 m

40. 15.

41. 16.

42. 17.

45. 18.

46. 19.