A wildlife biologist has spent the past 5 years studying the relationship between the length (inches)and the average weight (lb)of the striped bass.His results are summarized in the table below. \[\begin{array} { | l | l | } \hline \begin{array} { l } \text { Length } \\ \text { (inches) } \end{array} & \begin{array} { l } \text { Weight } \\ \text { (lb) } \end{array} \\ \hline 14 & 3 \\ 18 & 6 \\ 22 & 11 \\ 26 & 14 \\ \hline \end{array}\] Find the least squares regression line y = ax + b for the data in the table,where x represents the length of the fish in inches and y represents the weight in pounds.Use this regression line to estimate the average weight of a striped bass that is 21 inches in length.

A) y = 0.85(21)- 12.5 = 5.35 lb B) y = 0.95(21)- 10.5 = 9.45 lb C) y = 0.95(21)- 8.5 = 11.45 lb D) y = 0.75(21)- 9.5 = 6.25 lb E) y = 0.65(21)- 10.5 = 3.15 lb A) y = 0.85(21)- 12.5 = 5.35 lb B) y = 0.95(21)- 10.5 = 9.45 lb C) y = 0.95(21)- 8.5 = 11.45 lb D) y = 0.75(21)- 9.5 = 6.25 lb E) y = 0.65(21)- 10.5 = 3.15 lb

Exam 42: Two Variable Linear Systems

A wildlife biologist has spent the past 5 years studying the relationship between the length (inches)and the average weight (lb)of the striped bass.His results are summarized in the table below. Length (inches) Weight (lb) 14 3 18 6 22 11 26 14 Find the least squares regression line y = ax + b for the data in the table,where x represents the length of the fish in inches and y represents the weight in pounds.Use this regression line to estimate the average weight of a striped bass that is 21 inches in length.

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Question 41

Seven hundred gallons of 91-octane gasoline is obtained by mixing 87-octane gasoline with 94-octane gasoline.Write a system of equations in which one equation represents the amount of final mixture required and the other represents the amounts of 87- and 94-octane gasolines in the final mixture.Let x and y represent the numbers of gallons of 87-octane and 94-octane gasolines,respectively.

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Question 42

Solve the system of linear equations by the method of elimination.Use the graph to check your solution. $\left\{ \begin{array} { l } x + 4 y = 5 \\- x + 5 y = 4\end{array} \right.$

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Question 43

During one performance of a local arts council's presentation of Fiddler on the Roof,the box office sold 225 tickets and collected $1638.If adult tickets sold for $9 and children's tickets sold for $6,how many of each type of ticket were sold?

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Question 44

Use any method to solve the system of linear equations,find (x,y). $\left\{ \begin{aligned}- x + 3 y & = 15 \\2 x + 3 y & = 6\end{aligned} \right.$

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Question 45

Solve the system of linear equations by the method of elimination.Find (x,y)and check your solution algebraically. $\left\{ \begin{array} { l } 0.2 x - 0.5 y = - 27.1 \\0.3 x + 0.4 y = 70.9\end{array} \right.$

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Question 46

Find the equilibrium point (x,p)of the demand and supply equations.(The equilibrium point is the price p and number of units x that satisfy both the demand and supply equations. ) Demand Supply P = 129.00 - 0.07x P = 0.2x - 60

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Question 47

Solve the system of linear equations by the method of elimination.Find (x,y)and check your solution algebraically. $\left\{ \begin{array} { l } 9 x - 6 y = 6 \\6 x + 6 y = 24\end{array} \right.$

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Question 48

Solve the system by the method of elimination and check any solutions algebraically. $\left\{ \begin{array} { l } 0.05 x - 0.03 y = 0.29 \\0.07 x + 0.02 y = 0.22\end{array} \right.$

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Question 49

Showing 41 - 49 of 49

Exam 42: Two Variable Linear Systems

Solve the system of linear equations by the method of elimination.Use the graph to check your solution.​ {x+4y=5−x+5y=4\left\{ \begin{array} { l } x + 4 y = 5 \\- x + 5 y = 4\end{array} \right.{x+4y=5−x+5y=4​ ​

During one performance of a local arts council's presentation of Fiddler on the Roof,the box office sold 225 tickets and collected $1638.If adult tickets sold for $9 and children's tickets sold for $6,how many of each type of ticket were sold? ​

​Use any method to solve the system of linear equations,find (x,y).​ {−x+3y=152x+3y=6\left\{ \begin{aligned}- x + 3 y & = 15 \\2 x + 3 y & = 6\end{aligned} \right.{−x+3y2x+3y​=15=6​ ​ ​

Solve the system of linear equations by the method of elimination.Find (x,y)and check your solution algebraically.​ {0.2x−0.5y=−27.10.3x+0.4y=70.9\left\{ \begin{array} { l } 0.2 x - 0.5 y = - 27.1 \\0.3 x + 0.4 y = 70.9\end{array} \right.{0.2x−0.5y=−27.10.3x+0.4y=70.9​ ​

Find the equilibrium point (x,p)of the demand and supply equations.(The equilibrium point is the price p and number of units x that satisfy both the demand and supply equations. ) Demand Supply P = 129.00 - 0.07x P = 0.2x - 60 ​

​Solve the system of linear equations by the method of elimination.Find (x,y)and check your solution algebraically. ​​ {9x−6y=66x+6y=24\left\{ \begin{array} { l } 9 x - 6 y = 6 \\6 x + 6 y = 24\end{array} \right.{9x−6y=66x+6y=24​ ​

Solve the system by the method of elimination and check any solutions algebraically. ​​ {0.05x−0.03y=0.290.07x+0.02y=0.22\left\{ \begin{array} { l } 0.05 x - 0.03 y = 0.29 \\0.07 x + 0.02 y = 0.22\end{array} \right.{0.05x−0.03y=0.290.07x+0.02y=0.22​ ​

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Solve the system of linear equations by the method of elimination.Use the graph to check your solution. $\left\{ \begin{array} { l } x + 4 y = 5 \\- x + 5 y = 4\end{array} \right.$

During one performance of a local arts council's presentation of Fiddler on the Roof,the box office sold 225 tickets and collected $1638.If adult tickets sold for $9 and children's tickets sold for $6,how many of each type of ticket were sold?

Use any method to solve the system of linear equations,find (x,y). $\left\{ \begin{aligned}- x + 3 y & = 15 \\2 x + 3 y & = 6\end{aligned} \right.$

Solve the system of linear equations by the method of elimination.Find (x,y)and check your solution algebraically. $\left\{ \begin{array} { l } 0.2 x - 0.5 y = - 27.1 \\0.3 x + 0.4 y = 70.9\end{array} \right.$

Find the equilibrium point (x,p)of the demand and supply equations.(The equilibrium point is the price p and number of units x that satisfy both the demand and supply equations. ) Demand Supply P = 129.00 - 0.07x P = 0.2x - 60

Solve the system of linear equations by the method of elimination.Find (x,y)and check your solution algebraically. $\left\{ \begin{array} { l } 9 x - 6 y = 6 \\6 x + 6 y = 24\end{array} \right.$

Solve the system by the method of elimination and check any solutions algebraically. $\left\{ \begin{array} { l } 0.05 x - 0.03 y = 0.29 \\0.07 x + 0.02 y = 0.22\end{array} \right.$