The bar graph shO\ the estimated number of calories per day needed to maintain energy

Chapter 0, Problem 83

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The bar graph shO\ the estimated number of calories per day needed to maintain energy balance for various gender and age groups for moderately active lifestyles. (Moderately active means a lifestyle that includes physical activity equivalent to walking 1.5 to 3 miles per day at 3 to 4 miles per hour, in addition lo the light physical activity associated 111th typical day-to-day life.) Calories Needed to Maintain FAJergy Balance for Moderately Actie Lifesf)'les 3200 Ctout 3 Ctttp 4 Cttp s 2800 Women Croup 6 Men Ctoep '2 2400 2000 Crour 1 1600 1200 800 400 4-8 9-J3 14-18 19-30 31-50 51+ Age Range Source: U.D.A. (Be sure to refer to the graph at the boftom of the prellious page.)a. 1l1e mathematical model II' - - 66x' + 526x + 1 030 describes the number or calories needed pe r day, W, by women in age group x with moderately active lifestyles. Acoording to the model, how many calories per day are needed by women between the ages of 19 and 30. inclusive, with this lifestyle'! Does this underestimate or overestimate the number shown by the graph! By how much? b. 111e mathematical modelM - - l20x' + 998x + 590 describes the number or calories needed per day, M. by men in age group x with moderate-ly active lifestyles. According to the model, how many calories per day are needed by men between the ages o f 19 and 30, inclusive, with this lifestyle'! Does this underestimate or overestimate lhe number shown by the graph? By how much?c. Write a simplified rational expression that describes the ratio of the number of calories needed per day by '"omen in agegroup x to the number of calories needed per day by men in age group x for people with moderately active lifestyles.