Grade 9 Math, Applied
Linear Relations Unit
Modeling Linear Relations
Assignment #8
MFM1P
Name: ________________
Teacher: Mat
WillowWood School
1
1.
Does each graph represent direct variation? Explain how you know.
a)
b)
c)
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K:
C:
2.
/1
/2
Which graphs represent partial variation? Explain how you know.
For each graph that represents partial variation, determine the vertical intercept and rate of
change.
a)
b)
c)
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K:
C:
/1
/2
2
3.
Bulk honey costs $7.50/kg.
a) Complete a table to show the cost of honey for amounts from 1 kg to 5 kg.
b) Graph the data (A:
/3
/3). Does the graph represent direct variation? Explain.
(K:
Amount of
honey (kg)
0
1
A:
/1,
C:
/2)
Cost ($)
c) Use the graph to estimate how much it would cost to buy 2.5 kg of honey.
How could you check your estimate?
K:
A:
C:
/1
/2
/1
K:
A:
/1
/2
d) What is the rate of change? What does it represent?
3
3.
Matteo earns $8.75 per hour working as a landscaper.
a) Complete a table to show how much Matteo would earn for working up to 40 h.
A:
/3
K:
/1
T:
/1
C:
/3
A:
/3
K:
A:
/1
/2
b) Graph Matteo’s earnings. Does the graph represent direct variation? Explain.
Time
worked (h)
0
10
Earnings
($)
c) What is the rate of change? What does it represent?
d) Write an equation to determine the total Earnings, E, in dollars, when t hours are worked.
K:
C:
/1
/1
K:
A:
/1
/2
4
e) How much would William earn for working 25 h?
C:
4.
/1
A company that makes sports trophies and plaques charges $15 for a large plaque, plus
$0.10 per letter for engraving.
a) Complete a table showing the total cost for a large plaque with up to 100 letters.
b) Graph Cost against Number of letters.
Number of
letters
0
20
Cost
($)
c) Is this an example of direct or partial variation? Explain.
d) What is the rate of change? What does it represent?
e) Write an equation to determine the total cost, C dollars, when n letters are engraved.
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