SYSTEMS OF EQUATIONS AND MATRICES Max Writing a multi-step inequality for a real-world situation Español Ivan and Debra each ran every day as part of an exercise routine. Ivan ran 3 miles each day for x days. Debra ran 4 miles each day for y days. The total number of miles that Ivan ran is at least the total number of miles that Debra ran. Write an inequality describing this relationship EE ?

SYSTEMS OF EQUATIONS AND MATRICES Max Writing a multi-step inequality for a real-world situation Español Ivan and Debra each ran every day as part of an exercise routine. Ivan ran 3 miles each day for x days. Debra ran 4 miles each day for y days. The total number of miles that Ivan ran is at least the total number of miles that Debra ran. Write an inequality describing this relationship EE ?

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Description: see attachment SYSTEMS OF EQUATIONS AND MATRICESMaxWriting a multi-step inequality for a real-world situationEspañolIvan and Debra each ran every day as part of an exercise routine. Ivan ran 3 miles each day for x days. Debra ran 4 miles each day for

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.6: Systems Of Inequalities

Problem 39HP

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Physical Fitness Facility A physical fitness facility is constructing an indoor running track with space for exercise equipment inside the track (see figure). The track must be at least 125 meters long, and the exercise space must have an area of at least 500 square meters. (a) Write and graph a system of inequalities that describes the requirements of the facility. (b) Find two solutions of the system and interpret their meanings in the context of the problem.
Applications Fundraising A college club is selling baskets of fruit and blocks of cheese to raise at least 600 for a local childrens hospital. a. If the profit for selling a basket of fruit is 5 and for selling a block of cheese 6, write a system of inequalities that describes when x boxes of fruit and y blocks of cheese will cause the fundraising goal to be reached. Hint: Remember that a negative number of baskets of fruit or blocks of cheese cannot be sold. b. Graph the system of inequalities.
Applications Installing video Each week, Prime Time Video and Audio has 90 hours of labor to install satellite dishes d and some theatre systems t. On average, it takes 5 hours to install a satellite dish and 6 hours to install a home theatre system. Write a system of inequalities that provides the restrictions on the variables. Hint: Remember that a negative number of units cannot be installed.
Height and Weight For a healthy person who is 4 feet 10 inches tall, the recommended minimum weight is about 91 pounds and increases by about 3.6 pounds for each additional inch of height. The recommended maximum weight is about 115 pounds and increases by about 4.5 pounds for each additional inch of height. (a) Let x be the number of inches by which a person’s height exceeds 4 feet 10 inches and let y be the person’s weight (in pounds). Write a system of inequalities that describes the possible values of x and y for a healthy person. (b) Use a graphing utility to graph the system of inequalities from part (a). (c) What is the recommended weight range for a healthy person who is 6 feet tall?
Production A furniture company produces tables and chairs. Each table requires 1 hour in the assembly center and 113 hours in the finishing center. Each chair requires 112 hours in the assembly center and 112 hours in the finishing center. The assembly center is available 12 hours per day, and the finishing center is available 15 hours per day. Write and graph a system of inequalities that describes all possible production levels.