Section 2.5 Introduction to Relations 191 34. World record times for women’s track and field events are shown in the table. The women’s world record time y (in seconds) required to run x meters can be approximated by the relation y 0.159x 10.79. Distance Time Winner’s Name (m) (sec) and Country 100 10.49 Florence Griffith Joyner (United States) 200 21.34 Florence Griffith Joyner (United States) 400 47.60 Marita Koch (East Germany) 800 113.28 Jarmila Kratochvilova (Czechoslovakia) 1000 148.98 Svetlana Masterkova (Russia) 1500 230.46 Qu Yunxia (China) a. Predict the time required for a 500-m race. b. Use this model to predict the time for a 1000-m race. Is this value exactly the same as the data value given in the table? Explain. Expanding Your Skills 35. a. Define a relation with four ordered pairs such that the first element of the ordered pair is the name of a friend and the second element is your friend’s place of birth. b. State the domain and range of this relation. 36. a. Define a relation with four ordered pairs such that the first element is a state and the second element is its capital. b. State the domain and range of this relation. 37. Use a mathematical equation to define a relation whose second component y is 1 less than 2 times the first component x. 38. Use a mathematical equation to define a relation whose second component y is 3 more than the first component x. 39. Use a mathematical equation to define a relation whose second component is the square of the first component. 40. Use a mathematical equation to define a relation whose second component is one-fourth the first component.
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