Constant of Proportionality (Ch 2) Test Review: Understanding Learning Targets Assessment
Name: _____________________________
Target
Date: ________________
Class period: _________
Got it!
I CAN
Amount of bill ($)
1.
a. Is the relationship proportional? Explain.
Learning
________________________________________________________________________________________
Target 1: I can
________________________________________________________________________________________
interpret and
explain what
b. If the relationship is proportional what is the constant of proportionality (k).
(x,y), (0,0), and
c. Interpret the point (0, 0) in this situation.
(1,r) mean on a
d. What point (x, y) tells you the unit rate?
graph.
e. Interpret the point (21, 14) in this situation.
Learning
f.
What
does k represent?
Target 2: I can
decide whether
2 quantities are
in a
proportional
relationship in
tables, graphs,
and verbal
2.
a. Is the relationship proportional? Explain.
descriptions.
b. If the relationship is proportional what is the constant of
Learning
proportionality (k).
Target 3:
c. Interpret the point (0,0) in this situation.
I can identify
d. What point (x,y) tells you the unit rate?
the constant of
e. Interpret the point (50,100) in this situation.
proportionality
in many
f. What does k represent?
different ways,
i.e. tables,
graphs, &
verbal
descriptions.
Need more
help**
I don’t
understand
how to….
3. a. Is the relationship proportional? Explain.
b. If the relationship is proportional what is the constant of proportionality (k).
c. Interpret the point (0, 0) in this situation.
d. What point (x, y) tells you the unit rate?
e. Interpret the point (11, 55) in this situation.
f. What does k represent?
4. Analyze the tables below. Determine if they are proportional and explain using math reasoning and
vocabulary.
a. _______________________________
__________________________________
__________________________________
__________________________________
b. ________________________
___________________________
___________________________
___________________________
Learning
Target 2: I can
decide whether
2 quantities are
in a
proportional
relationship in
tables, graphs,
and verbal
descriptions.
Learning
Target 3:
I can identify
the constant of
proportionality
in many
different ways,
i.e. tables,
graphs, &
verbal
descriptions.
Learning
Target 4:
I can represent
proportional
relationships in
equations.
5.
Marco spends $3.50 every day at
Maverick. Fill in the table and then
graph the situation.
Day(s)
Money
Spent ($)
.5
7
3.5
17.5
a. What is the constant of
proportionality? _________
b. What point (x,y) represents the
unit rate? _________
c. What does the point (0,0)
represent?
___________________________
___________________________
_
d. What does the point (35,
(10,10)
35)
represent?
___________________________
___________________________
_
6. The cost (c) to hire a dog trainer is directly proportional to the amount of time (h) in hours spent training
the dog. Sue spent $660 on 12 hours of obedience training for her dog Muffin.
a.
Write an equation representing the proportional relationship between c and h using the information given.
b.
Jon wants to use the same dog trainer for his dog Tex, but he only has $440 to spend. How many hours of
training can he get for Tex? Explain your reasoning.
7. Determine if the realtionship is proportional. Explain using mathematical reasoning and vocabulary.
a. Mr. Kieme’s family recycled 42 pounds of glass and 63 pounds of paper. Mr. Powars family
recycled 30 pounds of glass and 43 pounds of paper.
b. Mrs. Fairbourn’s class collected $5 for the school fundraiser the first day, and $6.50 the second
day. Ms. Blair’s class collected $3 the first day and $3.90 the second day.
8. The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it
spends walking. Assume that an ant’s constant of proportionality is 18.
a.
Write an equation representing the proportional relationship between d and t using the information
given.
b.
If an ant walks for 10 minutes, how far will it travel?
c.
If an ant traveled 22.5 meters, how long did it walk?
d.
What does the constant of proportionality represent in this problem?
9.
a.
Jameer works in a men’s clothing store. The amount of money (m) he makes is directly proportional to
the number of hours (h) he works.
Complete the table to show the amount of money Jameer earns for the different amounts of time that he
works.
Money (m)
Hours (h)
(in dollars)
3
56.25
6
75.00
7.5
b.
Determine the constant of proportionality and what does it represent?
c.
Write an equation showing the relationship between m and h.
d.
How many hours does Jameer have to work to make $100?
e.
How much money does Jameer earn if he works 40 hours?
10. The amount of precipitation in the spring (s) is proportional to the amount of snowfall in the winter (w).
Last year there was 28” of precipitation in the spring and 35” of snow in the winter. Write an equation
showing the relationship between spring precipitation and winter snowfall.