Draw the graph of the inequality: y > 4 x +3 You can refer to Participation Activities 11 and 12 in the Reading and Participation section Graphing Linear Inequalities. Those two activities can give you practice in drawing graphs of linear inequalities in Mobius. Part a: Find two points on the associated line. Often it's smart to start with the values z =0 and z = 1. The point (0, Number ) is on the line y = 4 x +3. The point (1, Number ) is on the line y = 4 x +3. Part b: Find a point that satisfies the strict inequality y > 4 x + 3. The point (0, ) satisfies y > 4 x +3. Part c: To sketch this inequality, first sketch the boundary line using the icon and then use the

Draw the graph of the inequality: y > 4 x +3 You can refer to Participation Activities 11 and 12 in the Reading and Participation section Graphing Linear Inequalities. Those two activities can give you practice in drawing graphs of linear inequalities in Mobius. Part a: Find two points on the associated line. Often it's smart to start with the values z =0 and z = 1. The point (0, Number ) is on the line y = 4 x +3. The point (1, Number ) is on the line y = 4 x +3. Part b: Find a point that satisfies the strict inequality y > 4 x + 3. The point (0, ) satisfies y > 4 x +3. Part c: To sketch this inequality, first sketch the boundary line using the icon and then use the

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter3: Graphs And Functions

Section3.4: Graph Linear Inequalities In Two Variables

Problem 279E: The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to...

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Shanthie needs to earn at least $500 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $10an hour and the other as an intern in a law office for$25 hour. How many hours does Shanthie need to work at each job to earn at least $500 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she worksas an intern. Write an inequality that would model thissituation. (b) Graph the inequality. (c) Find three ordered pairs (x,y) that would be solutions to the inequality. Then, explain what that means for Shanthie.
Armando’s workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and he burns 7 calories a minute while swimming. He wants to burn 600 calories each day. (a) If x is the number of minutes that Armando will kickbox and y is the number minutes he will swim, find the inequality that will help Armando create a workout for today. (b) Graph the inequality. (c) List three solutions to the inequality. What options do the solutions provide Armando?
The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to either run or bike and burns 15 calories per minute while running and 10 calories a minute while biking. (a) If x is the number of minutes that Laura runs and y is the number minutes she bikes, find the inequality that models the situation. (b) Graph the inequality. (c) List three solutions to the inequality. What optionsdo the solutions provide Laura?
Hugh works two part time jobs. One at a grocery store that pays $10 an hour and the other is babysitting for $13 hour. Between the two jobs, Hugh wants to earn at least $260 a week. How many hours does Hugh need to work at each job to earn at least $260? (a) Let x be the number of hours he works at the grocery store and let y be the number of hours he works babysitting. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Hugh.
Harrison works two part time jobs. One at a gas station that pays $11 an hour and the other is IT troubleshooting for $16.50 an hour. Between the two jobs, Harrison wants to earn at least $330 a week. How many hours does Harrison need to work at each job to earn at least $330? (a) Let x be the number of hours he works at the gas station and let y be the number of (hours he works troubleshooting. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Harrison.
Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $9 an hour and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she works as an intern. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Elena.
Graph the linear inequality y1 .