Patterns And Relations Worksheet - Grade 7 Page 31

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Match each graph to its relation.
6.
a) The number of seashells collected is related
to the number of students who collected.
There are 12 seashells to start.
Each student collects 3 seashells.
b) The number of counters on the teacher’s desk is related
to the number of students who remove counters.
There are 36 counters to start.
Each student removes 6 counters.
c) The money earned baby-sitting is related to the number
of hours worked. The baby-sitter earns $6/h.
i)
ii)
iii)
36
36
36
30
30
30
24
24
24
18
18
18
12
12
12
6
6
6
0 1 2 3
4 5 6
0 1 2 3
4 5 6
0 1 2 3
4 5 6
Input
Input
Input
Akuti borrows $75 from her mother to buy a new lacrosse stick.
7.
She promises to pay her mother $5 each week until her debt is paid off.
a) Write a relation to show how the amount Akuti owes is related to
the number of weeks.
b) Make a table for the amount owing after 2, 4, 6, 8, and 10 weeks.
c) Draw a graph to show the relation. Describe the graph.
d) Use the graph to answer these questions:
i) How much does Akuti owe her mother after 13 weeks?
ii) When will Akuti finish paying off her debt?
Assessment Focus Use the relation: 5n
6 is related to n
8.
a) Describe a real-life situation that could be represented by this relation.
b) Make a table of values using appropriate Input numbers.
c) Graph the relation. Describe the graph.
d) Write 2 questions you could answer using the graph.
Answer the questions.
How can the graph of a relation help you answer questions
about the relation? Use an example to show your thinking.
34
UNIT 1: Patterns and Relations

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