1.2 Estimation Techniques 19 56. Estimating Heights If the height of the shorter person in the photo is 62 in. tall, estimate the height of the tree. 240 inches or 20 ft. Challenge Problems/Group Activities 57. Birthday Party Fitz is planning a birthday party for his friend, Noelle. There will be 50 guests at the party, and Fitz must do the following 7 Rent a party space 7 Hire a DJ to play music for 3 hours 7 Order a cake large enough so each guest gets one piece of cake 7 Provide ice cream, plates, napkins, and utensils to go with the cake 7 Provide two soft drinks, including ice and cups, for each of the guests 7 Provide light snacks, including plates and napkins, for the guests 7 Hire four waitstaff to serve the guests 7 Pay the DJ and waitstaff each a 20% tip. a) Estimate the cost of each of the items listed. Answers will vary. b) Estimate Fitz’s total cost for the birthday party. Answers will vary. c) Use the Internet to determine the actual costs for this party if it were held in your location. Answers will vary. 58. Cost of Supplements Each day, Roberto takes the following nutritional supplements: five tablets of vitamin C, two tablets of fish oil, one tablet of vitamin D, and one multivitamin tablet. Roberto purchases 500 vitamin C tablets for $24.99, 120 fish oil tablets for $47.99, 180 vitamin D tablets for $17.99, and 80 multivitamin tablets for $19.99. Estimate Roberto’s daily cost for supplements. $1.40 Recreational Mathematics 59. A Dime Look at a dime. Around the edge of a dime are many lines. Estimate the number of lines there are around the edge of a dime. There are 118 ridges around the edge. Nick Stubbs/Shutterstock 55. Statue of Liberty The length of the torch of the Statue of Liberty, from the tip of the flame to the bottom of the torch’s baton, is 29 feet. Estimate the height of the Statue of Liberty from the top of the base to the top of the torch (the statue itself). 160 feet In Exercises 53 and 54, if each square represents one square unit, estimate the area of the shaded figure in square units. 53. 9 square units 54. 12 square units In Exercises 51 and 52, estimate the percent of area that is shaded in the following figures. 51. 10% 52. 25% 48. Estimate the number of grapes shown in the photo. 100 grapes 50. 315° In Exercises 49 and 50, estimate, in degrees, the measure of the angles depicted. For comparison purposes a right angle, , measures 90°. 49. 150° Nitr/123RF 36clicks/123RF John Baran/Alamy Stock Photo
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