Exam 3: Straight Lines and Linear Functions

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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 25 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 25 inches. How long should be the bottom Hem?

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Find a linear model for the following data table. Round the slope to three decimal places. x 3 4.82 6.64 8.46 y 6 12.56 19.12 25.68

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The following table shows the running speed  The following table shows the running speed   , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long.  \begin{array} { | l | l | l | l | l | }  \hline L & 3.5 & 6.3 & 9.4 & 9.8 \\ \hline R & 8.28 & 15.73 & 24.04 & 24.92 \\ \hline \end{array} , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long. L 3.5 6.3 9.4 9.8 R 8.28 15.73 24.04 24.92

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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 & 2.88 & 3.04 & 4.21 & 5.07 \\ \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 2.88 3.04 4.21 5.07

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At the outside wall the roof is 9 feet high. Also, 3 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 3 horizontal feet from the outside wall toward the exterior of the room?

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The following table shows the money M left in your cookie jar after W\mathrm { W } withdrawals from the jar. Find a linear model for M in terms of W.  The following table shows the money M left in your cookie jar after  \mathrm { W }  withdrawals from the jar. Find a linear model for M in terms of W.

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Solve the equation 7x+3y9=07 x + 3 y - 9 = 0 for yy .

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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 running speed  The following table shows the running speed   , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long.  \begin{array} { | l | l | l | l | l | }  \hline L & 3.5 & 6.3 & 9.4 & 9.8 \\ \hline R & 8.26 & 15.72 & 24.08 & 24.91 \\ \hline \end{array} , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long. L 3.5 6.3 9.4 9.8 R 8.26 15.72 24.08 24.91

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If a rock is thrown downward with an initial velocity of 6 feet per second, then its velocity VV , in feet per second, after  If a rock is thrown downward with an initial velocity of 6 feet per second, then its velocity  V  , in feet per second, after   seconds is given by  V = 32 t + 6  By how much does velocity increase over a 5-second period? seconds is given by V=32t+6V = 32 t + 6 By how much does velocity increase over a 5-second period?

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Solve the equation 10x5y=610 x - 5 y = 6 for yy .

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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 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.  The following table shows the depth D , in inches, of water in a pond after  d  days of eva- poration. Find a linear model for depth as a function of days.

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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. Use linear regression to model running speed as a function of Temperature.    , in centimeters per second, of ants as a func- tion of the temperature TT in degrees Celsius. Use linear regression to model running speed as a function of Temperature.  The following table shows the running speed   , in centimeters per second, of ants as a func- tion of the temperature  T  in degrees Celsius. Use linear regression to model running speed as a function of Temperature.

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At the outside wall the roof is 9 feet high. Also, 5 horizontal feet from the outside wall to- ward the interior of the room, the roof is 10 feet tall. If the roof is extended beyond the outside wall, what is The height of the roof 4 horizontal feet from the outside wall toward the exterior of the room?

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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 & 2.8 & 3.31 & 4.05 & 5.16 \\ \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 2.8 3.31 4.05 5.16

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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. Use linear regression to model running speed as a function of Temperature.  \begin{array} { | l | l | l | l | l | }  \hline T & 25.6 & 30.3 & 32.3 & 34.8 \\ \hline R & 2.45 & 3.34 & 4.57 & 4.9 \\ \hline \end{array} , in centimeters per second, of ants as a func- tion of the temperature TT in degrees Celsius. Use linear regression to model running speed as a function of Temperature. T 25.6 30.3 32.3 34.8 R 2.45 3.34 4.57 4.9

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The following table shows the running speed  The following table shows the running speed   , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long.  \begin{array} { | l | l | l | l | l | }  \hline L & 3.5 & 6.3 & 9.4 & 9.8 \\ \hline R & 8.29 & 15.76 & 24.08 & 24.97 \\ \hline \end{array} , in feet per second, of animals of length L , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long. L 3.5 6.3 9.4 9.8 R 8.29 15.76 24.08 24.97

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For a certain line, a run of 3 feet corresponds to a rise of 4 feet. What is the slope of this line?

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A line through (8, 5) has slope 1.66. What is the vertical intercept?

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