Name: 

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

Which graph best represents the cost of renting a kayak as a function of time?

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)}

Each point on this graph represents an animal. Which animal has the least mass?

This graph shows the height of the tide in a harbour as a function of time in one day. What is the greatest height of the tide?

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?

The altitude of a plane, a metres, is related to the time, t minutes, that has elapsed since it started its ascent. Determine the rate of change of this linear relation.

t (min)	0	2	4	6	8
a (m)	4000	5400	6800	8200	9600

Minerva has $100. This graph represents the money Minerva would have if she purchased different numbers of CDs. Determine the rate of change of the relation. 
                                                                   
             

This set of ordered pairs represents a linear relation. Determine its rate of change.

                                                                                

This graph represents the boiling point of water, b degrees Celsius, as a function of altitude, a metres. Identify the independent variable.
                                                                   
             

Different coloured game pieces can be associated with their lengths, in centimetres. Consider the relation represented by this arrow diagram. Represent the relation as a graph.

The graph shows the speed of a windsurfer as a function of time.


a)       For how long did the windsurfer travel at a speed of 45 km/h?
b)       How long did the windsurfer’s ride last?           

The graph shows the height of the tide in a harbour as a function of time in one day. About how high is the tide at 2 p.m., to the nearest metre?

This graph shows the volume of gas in a car as a function of time. Describe what is happening for line segment EF in the graph.

Suppose you were to graph the data in this table of values. Would you join the points? Justify your answer.

Number of Pop Bottles, n	Refund, r ($)
5	1.00
12	2.40
17	3.40
24	4.80
30	6.00

For each association below, use the data in the graph to represent a relation as a set of ordered pairs.
a) is the mode of transportation used by this number of students to get to school
b) is the number of students that get to school by

An oven is turned on at a room temperature of 20°C and it takes 10 min to reach a temperature of 190°C. A cake is placed in the oven to bake for 30 min. The oven is then turned off and returns to room temperature after 15 min. The oven is turned on again 45 min later and it takes 15 min to reach a temperature of 160°C. Cookies are placed in the oven to bake for 20 min. The oven is then turned off and returns to room temperature after 15 min. Sketch a graph of temperature as a function of time. Label each section of the graph and explain what it represents.

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.

The graph represents the cost of printing pamphlets.



a)       Identify the dependent and independent variables.
b)       Sohan calculated the rate of change as follows:


c)       Describe what the rate of change represents.