AnswersMathematics 8Input-Output Relationships

Input-Output Relationships — Test Answers

25 verified answers
1
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Which expression can be used to determine the slope of the linear function graphed?

A
the fraction with numerator 0 minus negative 4 and denominator 2 minus 0
B
the fraction with numerator 2 minus 0 and denominator negative 4 minus 0
C
the fraction with numerator negative 4 minus 0 and denominator 2 minus 0
D
the fraction with numerator 0 minus 2 and denominator negative 4 minus 0
2
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What is the slope, m , and y -intercept for the line that is plotted on the given grid?

A
m is equal to 2 , open paren 0 comma 4 close paren
B
m is equal to 1 half , open paren 0 comma 4 close paren
C
m is equal to 1 half , open paren 0 comma negative 2 close paren
D
m is equal to 2 , open paren 0 comma negative 2 close paren
3

How does the graph change between point cap A and point cap c ?

A
The graph increases, then decreases.
B
The graph decreases, then remains constant.
C
The graph decreases, then increases.
D
The graph increases, then remains constant.
4

Which linear function shows a direct variation?

A
Graph A
B
Graph B
C
Graph C
D
Graph D
5

Is the function in the graph non-linear?

A
Yes, because it has a constant rate of change.
B
No, because it does not have a constant rate of change.
C
No, because it has a constant rate of change.
D
Yes, because it does not have a constant rate of change.
6

What is the slope of the graph?

A
negative 20
B
negative 5
C
negative 24
D
negative 4
7

Which equation represents the linear function that is shown on the given graph?

A
y is equal to 1 half x plus 4
B
y is equal to negative 2 x plus 4
C
y is equal to 4 x minus 2
D
y is equal to 1 half x minus 2
8

Which point on the graph represents the y -intercept?

A
cap w
B
cap y
C
cap z
D
cap v
9

What is the domain of the given function?

A
start set x such that x is equal to negative 6 comma negative 1 comma 0 comma 3 end set
B
start set x such that x is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
C
start set y such that y is equal to negative 7 comma negative 2 comma 1 comma 9 end set
D
start set y such that y is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
10

The linear function graphed shown represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

A
$12 per hour
B
$27 per hour
C
$15 per hour
D
$39 per hour
11

What is the rate of change of the function represented by the table?

A
1
B
negative 2 point 5
C
negative 1
D
2 point 5
12

How does the graph change between point cap A and point cap b ?

A
The graph increases.
B
The graph decreases.
C
The graph increases, then decreases.
D
The graph remains constant.
13

What is the rate of change of the function?

A
1 half
B
negative 2
C
negative 1 half
D
2
14

What is the range of the function on the graph?

A
all the real numbers
B
all the real numbers greater than or equal to negative 3
C
all the real numbers greater than or equal to 2
D
all the real numbers greater than or equal to 0
15

Which word best describes the range of a function?

A
input
B
relation
C
output
D
independent
16

Which statement is correct?

A
A horizontal line has no slope.
B
A line that rises from left to right has a positive slope.
C
A line that falls from right to left has a negative slope.
D
A vertical line has a slope of zero.
17

On the way to the mall Miguel rides his skateboard to get to the bus stop. He then waits a few minutes for the bus to come, then rides the bus to the mall. He gets off the bus when it stops at the mall and walks across the parking lot to the closest entrance. Which graph correctly models his travel time and distance?

A
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 5 ninths of the way across the horizontal axis and 4 ninths of the way up the vertical axis, moves to a point that is 6 ninths of the way across the horizontal axis and 4 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis and 5 ninths of the way up the vertical axis.
B
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 3 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 6 ninths of the way across the horizontal axis and 8 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis and 8 ninths of the way up the vertical axis.
C
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 3 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 5 ninths of the way across the horizontal axis and 5 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis.
D
Image with description On a first quadrant graph, the horizontal axis is labeled time and the vertical axis is labeled speed. From left to right, the graph begins at the origin and moves to a point that is 2 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 1 ninth of the way up the vertical axis, moves to a point that is 4 ninths of the way across the horizontal axis and 3 ninths of the way up the vertical axis, moves to a point that is 6 ninths of the way across the horizontal axis and 5 ninths of the way up the vertical axis, and then ends at a point that is 8 ninths of the way across the horizontal axis and 6 ninths of the way up the vertical axis.
18

Which expression can be used to determine the slope of the linear function represented in the table? x y 0 5 4 9

A
the fraction with numerator 5 minus 0 and denominator 9 minus 4
B
the fraction with numerator 4 minus 0 and denominator 9 minus 5
C
the fraction with numerator 9 minus 5 and denominator 4 minus 0
D
the fraction with numerator 9 minus 4 and denominator 5 minus 0
19

Ava wrote the expression the fraction with numerator 4 minus 2 and denominator 3 minus 1 to determine the slope of a line. Which table might represent Ava’s line?

A
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '4'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '1'
B
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '4'; Column 2, '2' Row 3: Column 1, '3'; Column 2, '1'
C
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '3'; Column 2, '4' Row 3: Column 1, 'negative 1'; Column 2, 'negative 2'
D
Table with 2 columns and 3 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '3'; Column 2, '4'
20

Which statement correctly describes the slope of the linear function that is represented by the data in the table? x y 8 negative 8 8 negative 4 8 0 8 4 8 8

A
The slope is zero.
B
The slope is negative.
C
The slope is positive.
D
There is no slope.

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