AnswersTransition Mathematics for SeniorsLinear vs. Nonlinear Functions

Linear vs. Nonlinear Functions — Quiz Answers

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Carol is cross-country skiing. The table shows the distance she traveled after various numbers of minutes. What is the rate of change?

A
3 over 16
B
1 over 12
C
3 over 32
D
1 sixth
2
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The rate of change between point cap A and point cap b is 2 What is the rate of change between point cap c and point cap d ?

A
1 half
B
2
C
negative 1 half
D
negative 2
3

Which graph has a rate of change of zero?

A
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 1 comma negative 3) and (1 comma 3).
B
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 1 comma 3) and (1 comma negative 3).
C
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. There is a line parallel to the x axis that is 3 units above the x axis.
D
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. There is a line parallel to the y axis that is 3 units to the right of the y axis.
4

Which of these tables represents a linear function?

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

Which of these tables represents a non-linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '17'; Column 2, 'negative 16' Row 3: Column 1, '18'; Column 2, 'negative 17' Row 4: Column 1, '19'; Column 2, 'negative 18' Row 5: Column 1, '20'; Column 2, 'negative 19'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '17'; Column 2, '20' Row 3: Column 1, '18'; Column 2, '19' Row 4: Column 1, '19'; Column 2, '18' Row 5: Column 1, '20'; Column 2, '17'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '17'; Column 2, 'negative 20' Row 3: Column 1, '18'; Column 2, 'negative 19' Row 4: Column 1, '19'; Column 2, 'negative 18' Row 5: Column 1, '20'; Column 2, 'negative 17'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '17'; Column 2, '16' Row 3: Column 1, '18'; Column 2, '17' Row 4: Column 1, '19'; Column 2, '19' Row 5: Column 1, '20'; Column 2, '20'
6

The table represents a linear function. The rate of change between the points open paren negative 5 comma 10 close paren and open paren negative 4 comma 5 close paren is negative 5 What is the rate of change between the points open paren negative 3 comma 0 close paren and open paren negative 2 comma negative 5 close paren ?

A
negative 5
B
negative 1 fifth
C
1 fifth
D
5
7

Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?

A
negative 3 point 5
B
negative 1
C
1
D
3 point 5
8

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2 point 2 5 ?

A
No, because the amount owed does not change by 1 every time the miles change by 2 point 2 5 .
B
Yes, because the amount owed changes by 1 every time the miles change by 2 point 2 5 .
C
Yes, because the amount owed changes by 2 point 2 5 every time the miles change by 1 .
D
No, because the amount owed does not change by 2 point 2 5 every time the miles change by 1 .
9

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

A
5
B
4
C
0
D
1
10

What was Kevin’s mistake?

A
He incorrectly chose open paren 0 comma 2 close paren as a point on the graph.
B
He mixed up the numerator and the denominator of the fraction.
C
He subtracted negative 2 from 0 when he should have added negative 2 to 0 .
D
He incorrectly chose open paren 4 comma 0 close paren as a point on the graph.

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Linear vs. Nonlinear Functions — Quiz Answers…