Survey of Mathematics

18 CHAPTER 1 Critical Thinking Skills In Exercises 45 and 46, estimate the maximum number of smaller figures (at left) that can be placed in the larger figure (at right) without the small figures overlapping. 45. 20 46. 25 47. Estimate the number of bananas shown in the photo. 120 bananas 43. Land Ownership by the Federal Government The following graph shows the percent of land owned by the federal government in the 12 states in which the federal government owns the greatest percentage of a state’s land. a) Estimate the percent of land owned by the federal government in Nevada. 85% b) Estimate the difference between Alaska and Oregon in the percent of land owned by the federal government. 15% c) Nevada has a total area of 70,264,320 acres. Estimate the number of acres owned by the federal government in Nevada. 59,500,000 acres d) By just looking at the graph, is it possible to determine whether the federal government owns more land in Nevada or Utah? Explain. No, since we are not given the area of each state Percent of Land Owned by the Federal Government Montana Washington Colorado New Mexico Wyoming California Arizona Idaho Oregon Utah Alaska Nevada Percent of Land Owned 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% Source: BLM.gov 44. Calories and Exercise The following chart shows the calories burned per hour for an average person who weighs 150 lb. a) Estimate the number of calories Phyllis, who weighs 150 lb, burns in a week if she lifts weight for 2 hours each week and jogs at 5 miles per hour for 4 hours each week. 2800 calories b) Estimate the difference in the calories Phyllis will burn each week if she runs for 4 hours at 8 miles per hour rather than walking for 4 hours at 4 miles per hour. 2400 calories c) Assume Phyllis jogs at 5 miles per hour for 3 hours and bicycles at 13 miles per hour for 3 hours each week. Estimate the number of calories she will burn in a year from these exercises. 150,000 calories *For a 150-lb person. Activity Calories* per Hour Running, 8 mph 920 Bicycling, 13 mph 545 Jogging, 5 mph 545 Air-walking 480 Stair-climbing 410 Weight-lifting 410 Walking, 4 mph 330 Casual bike riding 300

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