Patterns And Relations Worksheet - Grade 7 Page 18
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46Miss Jackson’s class pledges to pick up a total of 10 more pieces
of garbage than Ms. Thomson’s class.
Here are the numbers of pieces of garbage picked up by
different numbers of students.
Number of students
2
4
6
8
10
12
Number of pieces of
garbage picked up by
12
24
36
48
60
72
Ms. Thomson’s class
Number of pieces of
garbage picked up by
22
34
46
58
70
82
Miss Jackson’s class
Pieces of garbage
Pieces of garbage
picked up by
10
picked up by
Miss Jackson’s class
Ms. Thomson’s class
Let n represent the number of students who pick up garbage in Ms. Thomson’s class.
Then the number of pieces of garbage picked up by Ms. Thomson’s class is 6n.
And, the number of pieces of garbage picked up
Recall that 10 is
by Miss Jackson’s class is 10
6n.
the constant term.
The number of pieces of garbage is related to the number of students.
When we compare or relate a variable to an expression that contains
the variable, we have a relation.
That is, 10
6n is related to n.
This is a relation.
Example
Mr. Prasad plans to hold a party for a group of his friends.
The cost of renting a room is $35.
The cost of food is $4 per person.
a) Write a relation for the cost of the party, in dollars,
for n people.
b) How much will a party cost for 10 people?
For 15 people?
c) How does the relation change if the cost of food doubles?
How much more would a party for 10 people cost?
How do you know the answer makes sense?
21
1.4 Relationships in Patterns
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