Exam 3: Straight Lines and Linear Functions

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The following table shows the number C , in millions, of cars sold in the U.S. The following table shows the number C , in millions, of cars sold in the U.S.   years after 2005. Use the regression line for the data to estimate the number of cars sold in 2014.   years after 2005. Use the regression line for the data to estimate the number of cars sold in 2014. The following table shows the number C , in millions, of cars sold in the U.S.   years after 2005. Use the regression line for the data to estimate the number of cars sold in 2014.

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Which of the tables below show linear data? Table 1 x 2 4 6 8 36.07 39.39 43.45 46.89 Table 2 x 2 4 6 8 35.82 39.38 42.94 46.5

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Suppose ff is a linear function with f(7)=25.13f ( 7 ) = 25.13 . If the slope of ff is 2.59, what value of xx gives f(x)=12f ( x ) = 12 ?

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The following table shows the gross national product G , in trillions of dollars,  The following table shows the gross national product G , in trillions of dollars,   years after 2005. Use linear regression to model G as a function of   .  \begin{array} { | l | l | l | l | l | }  \hline t & 0 & 1 & 3 & 5 \\ \hline G & 12.72 & 13.52 & 14.27 & 14.65 \\ \hline \end{array} years after 2005. Use linear regression to model G as a function of  The following table shows the gross national product G , in trillions of dollars,   years after 2005. Use linear regression to model G as a function of   .  \begin{array} { | l | l | l | l | l | }  \hline t & 0 & 1 & 3 & 5 \\ \hline G & 12.72 & 13.52 & 14.27 & 14.65 \\ \hline \end{array} . t 0 1 3 5 G 12.72 13.52 14.27 14.65

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Find a linear model for the following data table. Round the slope to three decimal places. Find a linear model for the following data table. Round the slope to three decimal places.

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The following table shows the running speed  The following table shows the running speed   , in centimeters per second, of ants as a func- tion of the temperature  T  in degrees Celsius. Based on the regression equation, how fast would an ant run When the temperature is 30.9 degrees Celsius?  \begin{array} { | l | l | l | l | l | }  \hline T & 25.6 & 30.3 & 32.3 & 34.8 \\ \hline R & 2.28 & 3.21 & 4.85 & 5.08 \\ \hline \end{array} , in centimeters per second, of ants as a func- tion of the temperature TT in degrees Celsius. Based on the regression equation, how fast would an ant run When the temperature is 30.9 degrees Celsius? T 25.6 30.3 32.3 34.8 R 2.28 3.21 4.85 5.08

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Solve the equation 2x+10y7=02 x + 10 y - 7 = 0 for yy .

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Find a linear model for the following data table. Round the slope to three decimal places. x 1 2.15 3.3 4.45 y 7 11.68 16.36 21.04

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Suppose ff is a linear function with f(8)=26.48f ( 8 ) = 26.48 . If the slope of ff is 2.31, what value of xx gives f(x)=11f ( x ) = 11 ?

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If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity VV , in feet per second, after  If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity  V  , in feet per second, after   seconds is given by  V = 32 t + 8  By how much does velocity increase over a 6-second period? seconds is given by V=32t+8V = 32 t + 8 By how much does velocity increase over a 6-second period?

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The following table shows the gross national product GG , in trillions of dollars,  The following table shows the gross national product  G   , in trillions of dollars,   years after 2005. Use linear regression to model G as a function of   .    years after 2005. Use linear regression to model G as a function of  The following table shows the gross national product  G   , in trillions of dollars,   years after 2005. Use linear regression to model G as a function of   .    .  The following table shows the gross national product  G   , in trillions of dollars,   years after 2005. Use linear regression to model G as a function of   .

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Solve the system of equations 10.81x+10.76y-7.81=0 6.52x=6.43-15.76y

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The following table shows the depth D , in inches, of water in a pond after dd days of eva- poration. Find a linear model for depth as a function of days. d 2 4 6 8 D 766 764 762 760

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The following table shows the number C , in millions, of cars sold in the U.S. The following table shows the number C , in millions, of cars sold in the U.S.   years after 2005. Use the regression line for the data to estimate the number of cars sold in 2012.   years after 2005. Use the regression line for the data to estimate the number of cars sold in 2012. The following table shows the number C , in millions, of cars sold in the U.S.   years after 2005. Use the regression line for the data to estimate the number of cars sold in 2012.

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The sales tax TT , in dollars, I have to pay when I buy D dollars worth of merchandise is giv- en by T=0.09DT = 0.09 D If I decide to buy $34 more in merchandise, how much additional sales tax will I have to pay?

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The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to Make a wrap skirt with the same top hem length but a length of 23 inches. How long should be the bottom Hem? The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to Make a wrap skirt with the same top hem length but a length of 23 inches. How long should be the bottom Hem?

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The following table shows the running speed  The following table shows the running speed   , in centimeters per second, of ants as a func- tion of the temperature  T  in degrees Celsius. Based on the regression equation, how fast would an ant run When the temperature is 30.9 degrees Celsius?  \begin{array} { | l | l | l | l | l | }  \hline T & 25.6 & 30.3 & 32.3 & 34.8 \\ \hline R & 2.46 & 3.96 & 4.14 & 4.75 \\ \hline \end{array} , in centimeters per second, of ants as a func- tion of the temperature TT in degrees Celsius. Based on the regression equation, how fast would an ant run When the temperature is 30.9 degrees Celsius? T 25.6 30.3 32.3 34.8 R 2.46 3.96 4.14 4.75

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Suppose ff is a linear function with f(8)=26.2f ( 8 ) = 26.2 . If the slope of ff is 2.4, what value of xx gives f(x)=12f ( x ) = 12 ?

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Solve the equation 3.32x10.79y=9.843.32 x - 10.79 y = 9.84 for yy .

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At the outside wall the roof is 10 feet high. Also, 4 horizontal feet from the outside wall to- ward the interior of the room, the roof is 12 feet tall. If the roof is extended beyond the outside wall, what is The height of the roof 5 horizontal feet from the outside wall toward the exterior of the room?

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