Take test: 7.02 systems of equations quiz question 1 a system of equations that has at least one solution is called inconsistent. true false 2 points question 2 does the following system of equations have a solution? graph of lines y equals 2 x minus 5 and y equals negative 3 x plus 1 yes no 2 points question 3 what is the approximate solution of the following system of equations? graph of lines y equals negative x minus 5 and y equals x plus 9 (2, -7) (-7, 2) (7, 2) (-7, -2) 2 points question 4 solve the following system of equations by using the substitution method. x – y = 3 2x + 2y = 2 (3, 4) (-4, 5) (2, -1) inconsistent 2 points question 5 solve the following system of equations by using the substitution method. y = 6x – 11 -2x – 3y = -7 (1, 2) (2, 1) (-3, 1) (2, 4) 2 points question 6 solve the following system of equations by using the elimination method. x + y = 4 2x + 3y = 9 (3, 1) (-2, 1) (3, -1) inconsistent 2 points question 7 solve the following system of equations by using the elimination method. -4x – 2y = -12 4x + 8y = -24 (5, 3) (-6, -6) (3, 1) (6, -6) 2 points question 8 solve the following system of equations using matrices. 3x – 2y = 31 3x + 2y = -1 (5, -8) (3, 5) (-3, 9) (2, 8) 2 points question 9 solve the following system of equations using matrices. y = 2x – 1 6x – y = 13 (3, 5) (-3, 5) (5, 0) inconsistent 2 points question 10 a laboratory employee is mixing a 10% saline solution with 4% saline solution. how much of each solution is needed to make 500 milliliters of a 6% solution. 170 milliliters of the 10% solution and 340 milliliters of 4% solution 167 milliliters of the 10% solution and 333 milliliters of 4% solution 110 milliliters of the 10% solution and 210 milliliters of 4% solution 155 milliliters of the 10% solution and 300 milliliters of 4% solution 2 points

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Part one: measurements 1. measure your own height and arm span (from finger-tip to finger-tip) in inches. you will likely need some from a parent, guardian, or sibling to get accurate measurements. record your measurements on the "data record" document. use the "data record" to you complete part two of this project. name relationship to student x height in inches y arm span in inches archie dad 72 72 ginelle mom 65 66 sarah sister 64 65 meleah sister 66 3/4 67 rachel sister 53 1/2 53 emily auntie 66 1/2 66 hannah myself 66 1/2 69 part two: representation of data with plots 1. using graphing software of your choice, create a scatter plot of your data. predict the line of best fit, and sketch it on your graph. part three: the line of best fit include your scatter plot and the answers to the following questions in your word processing document 1. 1. which variable did you plot on the x-axis, and which variable did you plot on the y-axis? explain why you assigned the variables in that way. 2. write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. show all your work, including the points used to determine the slope and how the equation was determined. 3. what does the slope of the line represent within the context of your graph? what does the y-intercept represent? 5. use the line of best fit to you to describe the data correlation.

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.