Algebra 1 Chapter 4 Section 3
1.
x
1
2
3
4
5
y
12.3
19.6
26.9
34.2
41.5
Graph the function shown by the table. Is the function linear or nonlinear?
a. linear
b. nonlinear
2.
x
1
2
3
4
5
y
13
16.9
21.97
28.56
37.13
Graph the function shown by the table. Is the function linear or nonlinear?
a. linear
b. nonlinear
The table shows the total number of squares in each figure below. What is a pattern you can use to complete
the table?
3. Which of the following equations represents the pattern above?
a.
b.
c.
d.
4. Which of the following graphs matches the pattern described above?
a.
y
c.
150
135
90
120
80
105
70
90
60
75
50
60
40
45
30
30
20
15
10
1
b.
y
100
2
3
4
5
x
y
d.
200
135
120
140
105
120
90
100
75
80
60
60
45
40
30
20
15
3
4
5
x
3
4
5
x
1
2
3
4
5
x
y
160
2
2
150
180
1
1
5. What is a pattern you can use to complete the table? Represent the relationship using words.
6. The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function. What is a rule that represents this
function?
a.
b.
c.
d.
7. The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that
represents this function?
a.
c.
b.
d.
8. The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. What is a rule that
represents this function?
a.
c.
b.
d.
9. The table shows how much a carpenter charges for work. Is the relationship shown by the data in the table linear?
Explain your answer.
Hours Worked
Amount Charged ($)
1
25
2
40
3
60
4
80
Algebra 1 Chapter 4 Section 3
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
A
B
D
C
The number of squares in each figure, y, is equal to the xth odd number squared plus 4.
A
C
D
No, the relationship is not linear. 40– 25 = 15 and 2 – 1 = 1, but 60 – 40 = 20 and 3 – 2 = 1, so the rates of change
vary from $15/h to $20/h.