Decide which of the two given functions is linear and find its equation. \[\begin{array} { | l | l | l | l | l | l | } \hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \\ \hline f ( x ) & 1 & - 1.5 & - 4 & - 6.5 & - 9 \\ \hline \boldsymbol { g } ( \boldsymbol { x } ) & 1 & - 2 & - 5 & - 8 & - 10 \\ \hline \end{array}\]

A) $f ( x ) = 4 + 3 x$ B) $g ( x ) = 1 - 3 x$ C) $g ( x ) = 1 + 2.5 x$ D) $f ( x ) = 4 - 3 x$ E) $f ( x ) = 1 - 2.5 x$ A) $f ( x ) = 4 + 3 x$ B) $g ( x ) = 1 - 3 x$ C) $g ( x ) = 1 + 2.5 x$ D) $f ( x ) = 4 - 3 x$ E) $f ( x ) = 1 - 2.5 x$

The following table shows the approximate value V of one Euro in U.S dollars from its introduction in January 2000 to January 2004. ( $t = 0$ represents January, 2000.) \[\begin{array} { | r | c | c | c | } \hline \boldsymbol { t } ( \text { Year } ) & 0 & 2 & 4 \\ \hline \boldsymbol { V } ( \text { Value in } \mathrm { S } ) & 1.00 & 0.90 & 1.25 \\ \hline \end{array}\] Which model would best fit the given data (A, a, b, c, k, l, and m are constants.)

A) Logarithmic: $V ( t ) = k \cdot \ln ( l \cdot t )$ B) Cubic: $a \cdot ( t + b ) ^ { 3 } + c$ C) Linear: $V ( t ) = m \cdot t + b$ D) Quadratic: $V ( t ) = a \cdot t ^ { 2 } + b \cdot t + c$ E) Exponential: $V ( t ) = A ^ { b \cdot t }$ A) Logarithmic: $V ( t ) = k \cdot \ln ( l \cdot t )$ B) Cubic: $a \cdot ( t + b ) ^ { 3 } + c$ C) Linear: $V ( t ) = m \cdot t + b$ D) Quadratic: $V ( t ) = a \cdot t ^ { 2 } + b \cdot t + c$ E) Exponential: $V ( t ) = A ^ { b \cdot t }$

Following are approximate values of the Amex Gold BUGS Index. $\begin{array} { | l | l | l | l | } \hline \text { Year } \boldsymbol { x } & 0 & 2 & 4 \\ \hline \text { Index } \boldsymbol { y } & 50 & 100 & 250 \\ \hline \end{array}$ ( \[x = 0\] represents 2000) Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.) Use your regression equation to project the 2001 sales.

A) 65.33 B) 83.33 C) 93.33 D) 63.33 E) 94.33 A) 65.33 B) 83.33 C) 93.33 D) 63.33 E) 94.33

Exam 1: Functions and Applications

In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius (or centigrade) scale, water freezes at 0°C and boils at 100°C. Assuming that the Fahrenheit temperature F and the Celsius temperature C are related by a linear equation, find the Celsius temperature that correspond to 121°F, to the nearest degree. __________ °C

(Short Answer)

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Question 121

Use the graph of the function $f$ to find $f ( 0 )$ .

(Multiple Choice)

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Question 122

Decide which of the two given functions is linear and find its equation. 0 1 2 3 4 f(x) 1 -1.5 -4 -6.5 -9 ( ) 1 -2 -5 -8 -10

(Multiple Choice)

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Question 123

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 0,0 ) , ( 4,15 ) , ( 7,18 ) \}$

(Multiple Choice)

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Question 124

In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius (or centigrade) scale, water freezes at 0°C and boils at 100°C. Assuming that the Fahrenheit temperature F and the Celsius temperature C are related by a linear equation, find the Fahrenheit temperature that corresponds to 61°C, to the nearest degree. __________ °F

(Short Answer)

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Question 125

The height of the falling sheet of paper, in feet from the ground, is given by $s ( t ) = - 1.5 t + 9$ after t seconds. When will the sheet of paper reach the ground

(Multiple Choice)

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Question 126

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 2,2 ) , ( - 3,2 ) , ( 7 , - 2 ) \}$ Please give the answer to four decimal places if necessary.

(Short Answer)

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Question 127

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Find $f ( 10 )$ .

(Multiple Choice)

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Question 128

In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius (or centigrade) scale, water freezes at 0°C and boils at 100°C. Assuming that the Fahrenheit temperature F and the Celsius temperature C are related by a linear equation, find the Fahrenheit temperature that correspond to 26°C, to the nearest degree.

(Multiple Choice)

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Question 129

Graph shows the number of sports utility vehicles $f ( x )$ sold in the United States. $f ( x )$ represents sales in year t in thousands of vehicles. Use the graph to estimate the smallest value of $f ( x )$ for $2 \leq t \leq 9$ . $Graph shows the number of sports utility vehicles f ( x ) sold in the United States. f ( x ) represents sales in year t in thousands of vehicles. Use the graph to estimate the smallest value of f ( x ) for 2 \leq t \leq 9 .$

(Multiple Choice)

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Question 130

The following table shows the approximate value V of one Euro in U.S dollars from its introduction in January 2000 to January 2004. ( $t = 0$ represents January, 2000.) ( Year ) 0 2 4 ( Value in ) 1.00 0.90 1.25 Which model would best fit the given data (A, a, b, c, k, l, and m are constants.)

(Multiple Choice)

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Question 131

Following are approximate values of the Amex Gold BUGS Index. Year 0 2 4 Index 50 100 250 ( $x = 0$ represents 2000) Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.) Use your regression equation to project the 2001 sales.

(Multiple Choice)

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Question 132

Calculate the slope of the straight line through the points $( - 1,0 )$ and $\left( - \frac { 7 } { 8 } , \frac { 1 } { 4 } \right)$ . Try to do the calculation mentally.

(Multiple Choice)

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Question 133

Find the best-fit line associated with the set of points. $( 1,5 )$ , $( 3,14 )$ , $( 5,24 )$ , $( 7,0 )$

(Multiple Choice)

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Question 134

You can sell 90 pet chias per week if they are marked as $1 each, but only 40 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 25 chias per week if they are marked $1 per chia, and 75 per week if they are marked $2 per chia. Write the associated linear demand and supply functions.

(Multiple Choice)

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Question 135

Sketch the straight line of the following equation. $y = 5 x - 3$

(Multiple Choice)

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Question 136

Sketch the straight line with the equation. $6 x = 12$

(Multiple Choice)

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Question 137

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Find $f ( 7 )$ .

(Multiple Choice)

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Question 138

A police car was traveling down Ocean Parkway in a high-speed chase from Jones Beach. The car was at Jones Beach at exactly 9:00 p.m. $( t = 0 )$ , and was at Oak Beach, 13 miles from Jones Beach, at exactly 9:04 p.m. How fast was the police car traveling (Round your answer to the nearest tenth.)

(Multiple Choice)

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Question 139

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 3,6 ) , ( 4,7 ) , ( 7,13 ) \}$ Please give the answer to four decimal places if necessary.

(Short Answer)

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Question 140

Use the graph of the function $f$ to find $f ( 0 )$ .

Decide which of the two given functions is linear and find its equation. 0 1 2 3 4 f(x) 1 -1.5 -4 -6.5 -9 ( ) 1 -2 -5 -8 -10

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 0,0 ) , ( 4,15 ) , ( 7,18 ) \}$

The height of the falling sheet of paper, in feet from the ground, is given by $s ( t ) = - 1.5 t + 9$ after t seconds. When will the sheet of paper reach the ground

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 2,2 ) , ( - 3,2 ) , ( 7 , - 2 ) \}$ Please give the answer to four decimal places if necessary.

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Find $f ( 10 )$ .

The following table shows the approximate value V of one Euro in U.S dollars from its introduction in January 2000 to January 2004. ( $t = 0$ represents January, 2000.) ( Year ) 0 2 4 ( Value in ) 1.00 0.90 1.25 Which model would best fit the given data (A, a, b, c, k, l, and m are constants.)

Following are approximate values of the Amex Gold BUGS Index. Year 0 2 4 Index 50 100 250 ( $x = 0$ represents 2000) Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.) Use your regression equation to project the 2001 sales.

Calculate the slope of the straight line through the points $( - 1,0 )$ and $\left( - \frac { 7 } { 8 } , \frac { 1 } { 4 } \right)$ . Try to do the calculation mentally.

Find the best-fit line associated with the set of points. $( 1,5 )$ , $( 3,14 )$ , $( 5,24 )$ , $( 7,0 )$

Sketch the straight line of the following equation. $y = 5 x - 3$

Sketch the straight line with the equation. $6 x = 12$

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Find $f ( 7 )$ .

A police car was traveling down Ocean Parkway in a high-speed chase from Jones Beach. The car was at Jones Beach at exactly 9:00 p.m. $( t = 0 )$ , and was at Oak Beach, 13 miles from Jones Beach, at exactly 9:04 p.m. How fast was the police car traveling (Round your answer to the nearest tenth.)

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 3,6 ) , ( 4,7 ) , ( 7,13 ) \}$ Please give the answer to four decimal places if necessary.

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Sets and Counting

Probability

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Exam 1: Functions and Applications

Use the graph of the function fff to find f(0)f ( 0 )f(0) .

Decide which of the two given functions is linear and find its equation. 0 1 2 3 4 f(x) 1 -1.5 -4 -6.5 -9 ( ) 1 -2 -5 -8 -10

Find the coefficient of correlation of the line that best fits the data set. {(0,0),(4,15),(7,18)}\{ ( 0,0 ) , ( 4,15 ) , ( 7,18 ) \}{(0,0),(4,15),(7,18)}

The height of the falling sheet of paper, in feet from the ground, is given by s(t)=−1.5t+9s ( t ) = - 1.5 t + 9s(t)=−1.5t+9 after t seconds. When will the sheet of paper reach the ground

Find the coefficient of correlation of the line that best fits the data set. ​ {(2,2),(−3,2),(7,−2)}\{ ( 2,2 ) , ( - 3,2 ) , ( 7 , - 2 ) \}{(2,2),(−3,2),(7,−2)} ​ Please give the answer to four decimal places if necessary.

Graph shows the number of sports utility vehicles f(t)f ( t )f(t) sold in the United States. f(t)f ( t )f(t) represents sales in year t in thousands of vehicles. Find f(10)f ( 10 )f(10) .

Graph shows the number of sports utility vehicles f(x)f ( x )f(x) sold in the United States. f(x)f ( x )f(x) represents sales in year t in thousands of vehicles. Use the graph to estimate the smallest value of f(x)f ( x )f(x) for 2≤t≤92 \leq t \leq 92≤t≤9 .

The following table shows the approximate value V of one Euro in U.S dollars from its introduction in January 2000 to January 2004. ( t=0t = 0t=0 represents January, 2000.) ( Year ) 0 2 4 ( Value in ) 1.00 0.90 1.25 Which model would best fit the given data (A, a, b, c, k, l, and m are constants.)

Following are approximate values of the Amex Gold BUGS Index. Year 0 2 4 Index 50 100 250 ( x=0x = 0x=0 represents 2000) Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.) Use your regression equation to project the 2001 sales.

Calculate the slope of the straight line through the points (−1,0)( - 1,0 )(−1,0) and (−78,14)\left( - \frac { 7 } { 8 } , \frac { 1 } { 4 } \right)(−87​,41​) . Try to do the calculation mentally.

Find the best-fit line associated with the set of points. (1,5)( 1,5 )(1,5) , (3,14)( 3,14 )(3,14) , (5,24)( 5,24 )(5,24) , (7,0)( 7,0 )(7,0)

Sketch the straight line of the following equation. y=5x−3y = 5 x - 3y=5x−3

Sketch the straight line with the equation. 6x=126 x = 126x=12

Graph shows the number of sports utility vehicles f(t)f ( t )f(t) sold in the United States. f(t)f ( t )f(t) represents sales in year t in thousands of vehicles. Find f(7)f ( 7 )f(7) .

Find the coefficient of correlation of the line that best fits the data set. ​ {(3,6),(4,7),(7,13)}\{ ( 3,6 ) , ( 4,7 ) , ( 7,13 ) \}{(3,6),(4,7),(7,13)} ​ Please give the answer to four decimal places if necessary.

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Sets and Counting

Probability

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Use the graph of the function $f$ to find $f ( 0 )$ .

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 0,0 ) , ( 4,15 ) , ( 7,18 ) \}$

The height of the falling sheet of paper, in feet from the ground, is given by $s ( t ) = - 1.5 t + 9$ after t seconds. When will the sheet of paper reach the ground

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 2,2 ) , ( - 3,2 ) , ( 7 , - 2 ) \}$ Please give the answer to four decimal places if necessary.

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Find $f ( 10 )$ .

The following table shows the approximate value V of one Euro in U.S dollars from its introduction in January 2000 to January 2004. ( $t = 0$ represents January, 2000.) ( Year ) 0 2 4 ( Value in ) 1.00 0.90 1.25 Which model would best fit the given data (A, a, b, c, k, l, and m are constants.)

Following are approximate values of the Amex Gold BUGS Index. Year 0 2 4 Index 50 100 250 ( $x = 0$ represents 2000) Obtain the associated regression line. (Round coefficients to 2 decimal places if necessary.) Use your regression equation to project the 2001 sales.

Calculate the slope of the straight line through the points $( - 1,0 )$ and $\left( - \frac { 7 } { 8 } , \frac { 1 } { 4 } \right)$ . Try to do the calculation mentally.

Find the best-fit line associated with the set of points. $( 1,5 )$ , $( 3,14 )$ , $( 5,24 )$ , $( 7,0 )$

Sketch the straight line of the following equation. $y = 5 x - 3$

Sketch the straight line with the equation. $6 x = 12$

Graph shows the number of sports utility vehicles $f ( t )$ sold in the United States. $f ( t )$ represents sales in year t in thousands of vehicles. Find $f ( 7 )$ .

Find the coefficient of correlation of the line that best fits the data set. $\{ ( 3,6 ) , ( 4,7 ) , ( 7,13 ) \}$ Please give the answer to four decimal places if necessary.