Problem 10
3.1 - Express a generalization of a pattern in various representations
including algebraic and function notation.
1. Some ordered pairs for a linear function of x are given
in the table to the right.
x
y
1
1
3
7
5
13
7
19
Which equation correctly expresses the relationship between x and y?
A
B
C
D
y = 2x +1
y = 2x −1
y = 3x − 2
y = 4x −3
2. The first 3 figures in a pattern are shown.
Figure 1
Figure 2
How many black squares will be in figure 4?
A
B
C
D
36
17
13
53
Figure 3
Problem 10
3. The data in the table show the cost of renting a bicycle by the hour, including a
deposit.
Hours
Cost in dollars
(h)
(c)
2
15
5
30
8
45
If hours, h, were graphed on the horizontal axis and cost, c, were graphed on the vertical
axis, what would be the equation of a line that fits the data?
A
B
C
D
c = 5h
c=h+5
c = 5h + 5
c = 5h – 5
4. In the table below, f(x) is a linear function.
When x =8, what is the value of f (x)?
A
B
C
D
19
20
22
26
x
f (x)
1
5
5
17
8
?