AnswersAlgebra IIMathematical Modeling

Mathematical Modeling — Test Answers

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The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet, y , would a person be 8 seconds after the experiment begins?

A
27 ft
B
30 ft
C
21 ft
D
57 ft
22
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Applying a quadratic regression model y is equal to A x squared plus b x plus c , what are the values of A , b , and c ?

A
A is equal to 0 point 2 4 8 , b is equal to negative 0 point 9 9 4 , c is equal to 2 point 9 7 9
B
A is equal to 2 point 9 7 9 , b is equal to 0 point 9 9 4 , c is equal to 0 point 2 4 8
C
A is equal to 2 point 9 7 9 , b is equal to negative 0 point 9 9 4 , c is equal to 0 point 2 4 8
D
A is equal to 0 point 2 4 8 , b is equal to 0 point 9 9 4 , c is equal to 2 point 9 7 9
23

What are the domain and range of the step function?

A
domain = {all real numbers}, range is equal to dot dot dot minus 4 comma negative 1 comma 2 comma 5 comma dot dot dot
B
domain = {all real numbers}, range = {all real numbers}
C
domain = {all integers}, range = {all real numbers}
D
domain is equal to dot dot dot minus 5 comma negative 2 comma 1 comma 4 comma dot dot dot , range is equal to dot dot dot minus 4 comma negative 1 comma 2 comma 5 comma dot dot dot
24

What is the domain of the graphed function?

A
open paren negative 2 comma infinity close paren
B
left parenthesis negative 2 comma 4 right bracket and left bracket 7 comma infinity right parenthesis
C
left bracket negative 2 comma 0 right bracket and open paren 7 comma infinity close paren
D
open paren negative infinity comma 4 close paren
25

Which function best models this data?

A
y is equal to negative 0 point 0 1 x squared plus 0 point 3 x plus 15 point 4
B
y is equal to 15 point 2 plus 0 point 9 8 ln x
C
y is equal to the fraction with numerator 17 point 6 and denominator 1 plus 0 point 6 9 e raised to the negative 0 point 9 6 x power
D
y is equal to negative 2 point 4 sine open paren negative 0 point 5 x plus 20 point 4 close paren plus 16 point 5

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