AnswersAlgebra Concepts and ConnectionsIntroduction to Linear Functions

Introduction to Linear Functions — Quiz Answers

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In order for the data in the table to represent a linear function with a rate of change of plus 5 , what must be the value of a ? x y 3 13 4 a 5 23

A
a is equal to 8
B
a is equal to 33
C
a is equal to 18
D
a is equal to 3
2
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Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 4' Row 4: Column 1, '3'; Column 2, 'negative 2' Row 5: Column 1, '4'; Column 2, '0'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 3' Row 3: Column 1, '2'; Column 2, 'negative 5' Row 4: Column 1, '3'; Column 2, 'negative 7' Row 5: Column 1, '4'; Column 2, 'negative 9'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '6' Row 4: Column 1, '3'; Column 2, '12' Row 5: Column 1, '4'; Column 2, '24'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '5' Row 4: Column 1, '3'; Column 2, '9' Row 5: Column 1, '4'; Column 2, '14'
3

Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 5' Row 3: Column 1, '2'; Column 2, '0' Row 4: Column 1, '3'; Column 2, '5' Row 5: Column 1, '4'; Column 2, '10'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '5' Row 3: Column 1, '2'; Column 2, '10' Row 4: Column 1, '3'; Column 2, '20' Row 5: Column 1, '4'; Column 2, '40'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 5' Row 3: Column 1, '2'; Column 2, '10' Row 4: Column 1, '3'; Column 2, 'negative 15' Row 5: Column 1, '4'; Column 2, '20'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '5' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '5' Row 5: Column 1, '4'; Column 2, '9'
4

Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '3' Row 5: Column 1, '4'; Column 2, '9'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '27' Row 5: Column 1, '4'; Column 2, '81'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '7' Row 4: Column 1, '3'; Column 2, '11' Row 5: Column 1, '4'; Column 2, '15'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '3'; Column 2, '15' Row 5: Column 1, '4'; Column 2, '21'
5

The final cost of a sale item is determined by multiplying the price on the tag by 75 percent Which best describes the function that represents the situation? Item Cost Price on the Tag, x Final Cost 10 dollars 0 point 75 repeating 10 20 dollars 0 point 75 repeating 20 30 dollars 0 point 75 repeating 30 40 dollars 0 point 75 repeating 40

A
It is nonlinear because the price tag and final cost columns do not have the same common difference.
B
It is nonlinear because the final cost is determined by multiplying each price tag by 0 point 75 .
C
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
D
It is linear because the function is continuous.
6

Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '27' Row 5: Column 1, '4'; Column 2, '81'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '8' Row 4: Column 1, '3'; Column 2, '15' Row 5: Column 1, '4'; Column 2, '21'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '3' Row 5: Column 1, '4'; Column 2, '9'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '3' Row 3: Column 1, '2'; Column 2, '7' Row 4: Column 1, '3'; Column 2, '11' Row 5: Column 1, '4'; Column 2, '15'
7

Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '0' Row 3: Column 1, '2'; Column 2, '6' Row 4: Column 1, '3'; Column 2, '16' Row 5: Column 1, '4'; Column 2, '30'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '1' Row 3: Column 1, '2'; Column 2, '1 half' Row 4: Column 1, '3'; Column 2, '1 third' Row 5: Column 1, '4'; Column 2, '1 fourth'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '1 half' Row 3: Column 1, '2'; Column 2, '1' Row 4: Column 1, '3'; Column 2, '1⁢12' Row 5: Column 1, '4'; Column 2, '2'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, '7' Row 3: Column 1, '2'; Column 2, '9' Row 4: Column 1, '3'; Column 2, '13' Row 5: Column 1, '4'; Column 2, '21'
8

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

A
The values in the set must be increasing.
B
The values in the set must be positive.
C
The set must have a constant multiplicative rate of change.
D
The set must have a constant additive rate of change.
9

In order for the data in the table to represent a linear function with a rate of change of negative 8 , what must be the value of a ? x y 10 27 11 a 12 11

A
a is equal to 19
B
a is equal to 35
C
a is equal to 3
D
a is equal to 2
10

The final cost of a sale item is determined by multiplying the price on the tag by 75 percent Which best describes the function that represents the situation? Item Cost Price on the Tag, x Final Cost 10 dollars 0 point 75 repeating 10 20 dollars 0 point 75 repeating 20 30 dollars 0 point 75 repeating 30 40 dollars 0 point 75 repeating 40

A
It is nonlinear because the price tag and final cost columns do not have the same common difference.
B
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
C
It is linear because the function is continuous.
D
It is nonlinear because the final cost is determined by multiplying each price tag by 0 point 75 .

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