Download Patterns and Linear Functions

Name
Class
Date
Practice
4-2
Form G
Patterns and Linear Functions
For each diagram, find the relationship between the number of shapes and the
perimeter of the figure they form. Represent this relationship using a table,
words, an equation, and a graph.
1
1
1
1
1
1
1
1
1 1
3 triangles
1
1
1 triangle 2 triangles
1
1
1
1
The perimeter is 2 more than the
number of triangles; p 5 n 1 2
1 1
4 triangles
Triangles
1
2
3
4
5
6
10
n
Perimeter
3
4
5
6
7
8
12
n à2
Perimeter, p
1.
10
9
8
7
6
5
4
3
2
1
O
1 2 3 4 5 6 7 8 9 10
Number of triangles, n
1
The perimeter is 2 more than twice the
number of squares; p 5 2n 1 2
1
1 square
2 squares
3 squares
Squares
1
2
3
4
5
6
10
n
Perimeter
4
6
8
10
12
14
22
2n à2
Perimeter, p
2.
10
9
8
7
6
5
4
3
2
1
O
1 2 3 4 5 6 7 8 9 10
Number of Squares, n
For each table, determine whether the relationship is a function. Then
represent the relationship using words, an equation, and a graph.
3.
x
y
0
1
1
3
2
5
3
7
10
9
8
7
6
5
4
3
2
1
O
4.
y
x
1 2 3 4 5 6 7 8 9 10
yes; the output y is 1
more than twice the
input x; y 5 2x 1 1
x
y
0
6
1
7
2
8
3
9
yes; the output y is 6
more than the input
x; y 5 x 1 6
Prentice Hall Gold Algebra 1 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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7
6
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3
2
1
O
y
x
1 2 3 4 5 6 7 8 9 10
Name
Class
Date
Practice (continued)
4-2
Form G
Patterns and Linear Functions
For each table, determine whether the relationship is a function. Then
represent the relationship using words, an equation, and a graph.
5.
6.
Distance Traveled
Time
(h)
0
0
1
55
2
3
function; the
distance traveled
is 55 times
the number of
hours; d 5 55t
Minutes
(min)
0
10
50
110
20
100
165
30
150
d
200
100
t
1
2
3
4
150
c
100
50
m
O
Time (h)
10
20
30
(3, 8). Determine whether the relationship is a linear function.
Explain how you know.
The function is linear; the points on
the graph can be connected by a
straight line.
8
7
6
5
4
3
2
1
y
x
8. You can make a bubble solution by mixing 1 cup of liquid
soap with 4 cups of water. Represent the relationship
between the cups of liquid soap and the cups of bubble
solution made using a table, an equation, and a graph.
Is the amount of bubble solution made a function of the
amount of liquid soap used? Explain. b 5 5s;
0
0
1
5
2
10
3
15
4
20
Cups of bubble solution
O
Cups of bubble
solution, b
40
Minutes spent exercising
7. Reasoning Graph the set of ordered pairs (0, 2), (1, 4), (2, 6),
Cups of
soap, S
function; the
calories burned
are 5 times
the number of
minutes spent
exercising;
c 5 5m
Calories
(C)
0
Calories burned
300
Distance (mi)
Distance
(mi)
Calories Burned
20
1 2 3 4 5 6 7 8
b
15
10
5
s
O
1
2
3
Cups of soap
Prentice Hall Gold Algebra 1 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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