Name: 
 

Math 10 Foundations LG 7 Practice Quiz 4



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

A person in a car drives away from a stop sign, cruises at a constant speed, and then slows down as she approaches another stop sign. Which graph best represents this situation?
a.

mc001-1.jpg
c.

mc001-3.jpg
b.

mc001-2.jpg
d.

mc001-4.jpg
 

 2. 

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

mc002-1.jpg
c.

mc002-3.jpg
b.

mc002-2.jpg
d.

mc002-4.jpg
 

 3. 

In this diagram, describe the relation in words.
mc003-1.jpg
a.
The relation shows the association “is about 100 km” from a set of ski resorts to a set of towns in B.C.
b.
The relation shows the association “is within 100 km of” from a set of ski resorts to a set of towns in B.C.
c.
The relation shows the association “is within 100 km of” from a set of towns in B.C. to a set of ski resorts.
d.
The relation shows the association “is 100 km away” from a set of ski resorts to a set of towns in B.C.
 

 4. 

Joshua went on a bike ride. For part of the ride, Joshua stopped to play in a park with a friend. Which segment of the graph best describes this part of his bike ride?

mc004-1.jpg
a.
CD
b.
AB
c.
OA
d.
BC
 

 5. 

Joshua went on a bike ride. Which statement best describes what is happening for line segment DE in this graph?

mc005-1.jpg
a.
Joshua spends time at the park.
b.
Joshua leaves home.
c.
Joshua cycles to the park.
d.
Joshua returns home.
 

 6. 

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

mc006-1.jpg
a.
About 20 s
b.
About 13 s
c.
About 60 s
d.
About 63 s
 

 7. 

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?

mc007-1.jpg
a.
The skydiver landed on the ground.
b.
The skydiver opened her parachute.
c.
The skydiver was free-falling.
d.
The skydiver jumped out of the plane.
 

 8. 

The relation between x and y is linear. Which number would complete this table?

x
3
7
11
15
19
y
19
13
7
 
–5
a.
–7
b.
1
c.
–6
d.
6
 

 9. 

The monthly income, I dollars, of a furniture salesperson is given by the equation mc009-1.jpg, where s represents the salesperson’s total monthly sales in dollars. Determine the rate of change of this linear relation.
                                                                                
a.
0.03
c.
1500
b.
mc009-2.jpg
d.
3
 

 10. 

Which situation represents a linear relation?
i) The number of cells decays at a rate of 12% each day.
ii) A taxi company charges a $3 flat fee plus $1 for each kilometre travelled.            
iii) A population of bacteria doubles every hour for 6 h.
iv) An investor’s portfolio increases in value by 6% each year.
a.
i
b.
ii
c.
iii
d.
iv
 

Short Answer
 

 11. 

Consider the relation represented by this arrow diagram. Represent the relation as a set of ordered pairs.
sa011-1.jpg
 

 12. 

Consider the relation represented by this set of ordered pairs. sa012-1.jpg
Describe the relation in words.
 

 13. 

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)}
 

 14. 

Explain why the points on this graph are not joined.
sa014-1.jpgsa014-2.jpg
 

 15. 

This table represents the approximate relation between a distance in miles and the same distance in kilometres. Determine the rate of change of the relation..

Miles (mi.)
9
18
27
36
45
Kilometres (km)
14.4
28.8
43.2
57.6
72.0
 

Problem
 

 16. 

Here are some families and the number of days they spent camping last summer.
Jones (2); Smith (6); Teynor (9); Glimler (11); Frannot (16)

a) Describe the relation in words.
b) Represent the relation:
      i) as an arrow diagram
      ii) as a table
 

 17. 

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.

pr017-1.jpg

pr017-2.jpg
 

 18. 

A helicopter is travelling toward its destination.

Time (min)
Distance from Destination (mi.)
0
285
20
244
40
203
60
162
80
121

a)       Identify the dependent and independent variables.
b)       Use the table of values to determine whether the relation is linear.
c)       If the relation is linear, determine its rate of change.
d)       Assume the helicopter continues to travel at the same speed. How many more minutes will it take the helicopter to reach its destination? Give your answer to the nearest minute.
 

 19. 

A skydiver jumps from an altitude of 3700 m. For the first 12 s, her height in metres above the ground is described by this set of ordered pairs: pr019-1.jpg. Between 18 s and 36 s, her height above the ground is described by this set of ordered pairs: pr019-2.jpg.
Determine whether either set of ordered pairs represents a linear relation. Explain.
 



 
Check Your Work     Start Over