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- 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?arrow_forwardPhysical 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.arrow_forwardMary needs to purchase supplies of answer sheets and pencils for a standardized test to be given to the juniors at her high school. The number of the answer sheets needed is at least 5 more than twice the number of pencils. The pencils cost $2 and the answer sheets cost $1. Mary’s budget for these supplies allows for a maximum cost of $400. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could Mary purchase 100 pencils and 100 answer sheets? (d) Could Mary purchase 150 pencils and 150 answer sheets?arrow_forward
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