Patterns And Relations Worksheet - Grade 7 Page 21
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46Koko is organizing an overnight camping trip. The cost to
6.
rent a campsite is $20. The cost of food is $9 per person.
a) How much will the trip cost if 5 people go? 10 people go?
b) Write a relation for the cost of the trip when p people go.
c) Suppose the cost of food doubles.
Write a relation for the total cost of the trip for p people.
d) Suppose the cost of the campsite doubles.
Write a relation for the total cost of the trip for p people.
e) Explain why using the variable p is helpful.
Assessment Focus A pizza with cheese and tomato toppings costs $8.00.
7.
It costs $1 for each extra topping.
a) Write a relation for the cost of a pizza with e extra toppings.
b) What is the cost of a pizza with 5 extra toppings?
c) On Tuesdays, the cost of the same pizza with cheese
and tomato toppings is $5.00. Write a relation for the cost
of a pizza with e extra toppings on Tuesdays.
d) What is the cost of a pizza with 5 extra toppings on Tuesdays?
e) How much is saved by buying the pizza on Tuesday?
Write a relation for the pattern rule for each number pattern.
8.
Let n represent any term number.
a) 4, 8, 12, 16, …
b) 7, 8, 9, 10, …
c) 0, 1, 2, 3, …
Take It Further
9.
i) For each number pattern, how is each term related to the term number?
ii) Let n represent any term number. Write a relation for the term.
a)
1
2
3
4
5
6
Term Number
3
5
7
9
11
13
Term
b)
3
4
5
6
7
8
Term Number
7
10
13
16
19
22
Term
c)
2
3
4
5
6
7
Term Number
5
9
13
17
21
25
Term
How did your knowledge of patterning help you in this lesson?
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UNIT 1: Patterns and Relations
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