Name: 

Which arrow diagram shows the association “is less than” from a set of numbers to a set of numbers?

Gail leaves the house for her morning jog. She stops for a quick drink, then continues jogging before stopping again to chat with a friend. She then jogs back home. Which graph best represents Gail’s run?

This set of ordered pairs shows the years of some Winter Olympics and the host city in each year. Represent the relation as a table.
{(1988, Calgary), (1992, Albertville), (1994, Lillehammer), (1998, Nagano),
(2002, Salt Lake City), (2006, Turin), (2010, Vancouver)}

Different colours of marbles can be associated with the number of marbles in a bag. Consider the relation represented by this arrow diagram. Represent the relation as a graph.
            

This graph shows the free-fall speed of a skydiver as a function of time. About how long did the skydiver’s jump last?

This graph shows the free-fall speed of a skydiver as a function of time. Which statement best describes what is happening for line segment BC in the graph?

Which table of values represents a linear relation?
i)

Distance (m)	0	5	10	15	20
Time (s)	0	1	2	3	4

ii)              

Time (s)	0	3	6	9	12
Distance (m)	0	10	22	36	52

iii)              

Time (s)	0	1	2	3	4
Speed (m/s)	0	1	2	4	8

iv)              

Distance (m)	0	4	16	36	64
Speed (m/s)	0	2	4	6	8

            

This table of values represents a linear relation. Determine the rate of change of the relation.

Time (s)	0	1	2	3	4
Distance (m)	0	5	10	15	20

The monthly income, I dollars, of a furniture salesperson is given by the equation , where s represents the salesperson’s total monthly sales in dollars. Determine the rate of change of this linear relation.
                                                                                

For a service call, an electrician charges a $65 flat fee, plus $45 for every 30 min worked. Determine the rate of change of this linear relation.
                                                                                

Countries can be associated with the year they won gold in Olympic Men’s Ice Hockey. Consider the relation represented by this table. Describe this relation in words.

Country	Year
United States	1980
Soviet Union	1984
Soviet Union	1988
CIS	1992
Sweden	1994
Czech Republic	1998
Canada	2002
Sweden	2006
Canada	2010

The set of ordered pairs below shows Aboriginal ice-hockey players who have played in the NHL and their heritage. Represent the relation as a table.

{(Jordin Tootoo, Inuit), (Jonathan Cheechoo, Moose Cree), (Sheldon Souray, Metis),
(Wade Redden, Metis), (Chris Simon, Ojibwa), (Sandy McCarthy, Mi’kmaq)}

This graph shows how the volume of water in a barrel changes over time.


a)      About how much water was in the barrel after 25 min?
b)       After how many minutes was the barrel empty?           

Natasha spent part of the afternoon running errands. This graph shows her distance from home as a function of time.



a)       How far did Natasha drive in total?
b)       How long was Natasha away from home?

Which equations represent linear relations? Create tables of values if necessary.

a)                   d)
b)                   e)
c)                   f)

A student drew a graph to represent this situation.

“Lenora starts her 3.5-km walk home from school. After walking 1 km in 20 min, she stops to talk to a friend. She talks for 10 min and then continues walking at the same pace. Fifteen minutes later, she stops for 5 min to rest. She starts walking at the same pace again and after 15 min, she decides to jog the rest of the way home.”

Describe any errors in the student’s graph. Sketch the correct graph.

For this table of values:
a)       Graph the data. Will you join the points? Justify your answer.
b)       Does the graph represent a function? Explain?

Number of People, n	Cost, C ($)
15	0.50
30	1.00
60	2.00
90	3.00
120	4.00

A bathtub contains 40 L of water. The plug is pulled. The volume of water remaining in the tub is recorded at various intervals.

Time (s)	Volume (L)
0	40.0
55	26.7
105	16.9
170	7.5
225	2.5
300	0.0

Graph the data. Show volume as a function of time. Will you join the points? Explain.

This graph represents the relation between the distance a vehicle travels and the number of revolutions of a tire. An equation for the distance travelled, d metres, after r revolutions of the tire is .




a)       Identify the dependent and independent variables.
b)       Does the graph represent a linear relation? How do you know?
c)      Describe another strategy you could use to determine whether this relation is linear.