Week 5 HW Lines and Systems 1 Preparation for Calculus EGR 1980 Fall 01 Prof Griffith Student Name ID 1 The credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes The remaining credit after minutes of calls is and the remaining credit after minutes of calls is What is the remaining credit after minutes of calls ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 1 12 2 Using the pencil plot the point 3 A line passes through the point 4 Find the intercept and and has a slope of Write an equation for this line intercept of the line intercept intercept 5 The sum of two numbers is One number is times as large as the other What are the numbers ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 2 12 6 The Nguyen family and the Green family each used their sprinklers last summer The water output rate for the Nguyen family s sprinkler was per hour The water output rate for the Green family s sprinkler per hour The families used their sprinklers for a combined total of hours resulting in a total was water output of How long was each sprinkler used Nguyen family s sprinkler Green family s sprinkler 7 A scientist has two solutions which she has labeled Solution A and Solution B Each contains salt She knows that Solution A is salt and Solution B is salt She wants to obtain ounces of a mixture that is salt How many ounces of each solution should she use Solution A Solution B 8 Find the slope of the line Write your answer in simplest form 9 Consider the line What is the slope of a line perpendicular to this line What is the slope of a line parallel to this line ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 3 12 10 Graph the inequality 11 Consider the line a Find the equation of the line that is perpendicular to this line and passes through the point b Find the equation of the line that is parallel to this line and passes through the point 12 Find an ordered pair that is a solution to the equation ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 4 12 13 Graph the inequality in the coordinate plane 14 Graph the line ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 5 12 15 Solve the following system of equations 16 Graph the line with slope passing through the point 17 Suppose that the weight in pounds of an airplane is a linear function of the total amount of fuel in gallons in its tank When graphed the function gives a line with a slope of See the figure below gallons of fuel in its tank the airplane has a weight of With gallons of fuel in its tank plane with pounds What is the weight of the ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 6 12 18 For each point in the table below decide whether it is on Line 1 Line 2 both or neither Line 1 Line 2 19 Graph the line ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 7 12 20 A jet travels against the wind in hours and with the wind in the same amount of time What is the rate of the jet in still air and what is the rate of the wind Rate of the jet in still air Rate of the wind ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 8 12 Week 5 HW Lines and Systems 1 Answers for class Preparation for Calculus EGR 1980 Fall 01 1 2 3 4 intercept intercept 5 Larger number Smaller number 6 Nguyen family s sprinkler Green family s sprinkler 7 Solution A ounces Solution B ounces hours hours 8 ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 9 12 9 Slope of a perpendicular line Slope of a parallel line 10 11 Equation of perpendicular line Equation of parallel line 12 One possible answer is 13 ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 10 12 14 15 16 17 pounds 18 ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 11 12 19 20 Rate of the jet in still air Rate of the wind ALEKS Week 5 HW Lines and Systems 1 08 23 2014 1 16 46 PM EDT Copyright 2014 UC Regents and ALEKS Corporation P 12 12