Lesson 3.1: Linear Functions Answers

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Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the total income from the tickets (y)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Which function is graphed on the coordinate plane below?

Question illustration
A
f(x) = 2x – 6
B
f(x) = 2x + 6
C
f(x) = –2x + 6
D
f(x) = –2x – 6
7

Which equation is represented by the graph below?

Question illustration
A
y = –2x + 2
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
y = 2x + 4
9

The graph of a function must be linear if it has what characteristic?

A
It passes through the origin.
B
It crosses the x-axis more than once.
C
It crosses the y-axis exactly once
D
It has a constant slope.
10

Which graph represents y = –2x?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
11

One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?

Question illustration
A
the maximum weight allowed in a shipment
B
the minimum weight of a single box of screws
C
the minimum number of screws in a single box
D
the maximum number of single boxes for a shipment
12

The cost to rent skis at a local sporting goods store is $15 plus $20 per day. Which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d?

A
c = (15 + 20)d
B
c = 15d + 20
C
c = 20d + 15
D
c = (15 + d)20
13

The graph of a function must be linear if it has what characteristic?

A
It passes through the origin.
B
It crosses the x-axis more than once.
C
It crosses the y-axis exactly once
D
It has a constant slope.
14

Which equation is represented by the graph below?

Question illustration
A
y = –2x + 2
B
Option
Option B
C
Option
Option C
D
y = 2x + 4
15

What is the slope of the equation ?

Question illustration
A
–7
B
mc016-2.jpg
Option B
C
mc016-3.jpg
Option C
D
5
16

If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?

A
4
B
8
C
12
D
16
17

If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?

A
The graph of f(x) has zero x-intercepts.
B
The graph of f(x) has exactly one x-intercept.
C
The graph of f(x) has exactly two x-intercepts.
D
The graph of f(x) has infinitely many x-intercepts.
18

Which graph represents y = –2x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

If f(x) is a linear function, what is the value of n?xf(x)–4–25–1–10n20

A
2
B
4
C
5
D
9
20

If f(x) is a linear function, which statement must be true?

A
f(x) has no constant term.
B
f(x) has no x2-term.
C
f(x) has no terms with a coefficient other than 1.
D
f(x) has no x-term.

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