PROBLEM SITUATION: ANALYZING DATA ON APPLE JUICE IMPORTS In the United States, in recent years, there has been an increased consumption of apple juice from foreign countries. Since imported apple juice is also potentially cheaper, and therefore available to a larger percentage of the population, importing it can be seen as a positive thing. However, importing food from other countries also causes some concerns. These include a loss of control over the quality of imported food, an increased reliance on food from other countries, and a reduction in business for U.S. farmers. You will examine some of these issues below. (1) The following graph is similar to ones commonly used in media reports. It is called a pictograph because it uses pictures (instead of bars) to represent quantitative changes. This pictograph was created to show the changes in apple juice imports over the 10 -year time period from 2000 to 2010.6 (a) Based on the graph, would you say that apple juice imports grew a little, some, or a lot over this time period? Can you quantify? What are you looking at when you make this comparison? (b) People who study how to make visual displays of data (like graphs) are called data scientists. Data scientists urge caution when constructing pictographs because if they are not carefully constructed, they can be misleading. For example, in the graph above it is unclear if you should compare the height of the apples, the area of the apples, or the volume of the apples. To better understand how different interpretations of the data (in this instance the apples' height, area, and volume) can significantly impact one's understanding of the change in apple juice imports between 2000 and 2010 , fill in the table below. Assume the area of an apple is approximately the area of a circle and the volume of an apple is approximately the volume of a sphere. The area of a circle is given by the equatio .A=r and the volume of a sphere is given by V=3dr3 (where r is the radius). Remember that the radius of a circle is the distance from the center of the circle to its outside edge. For this question, you may assume the following: - 2000 (little apple) has a height of 18mm - 2010 (big apple) has o height of 35mm 2000 (little apple) has a height of 18mm 2010 (big apple) has a height of 35mm Work in your group to complete the table. When necessary, round figures to one decimal place. (c) What percentage did apple juice imports increase by between 2000 and 2010 ? Round to one decimal place. d) Using your answer for part (c), which interpretation of the pictograph (heigh, area, or volume) most accurately represents the actual change in apple juice imports over this 10 -year period? Explain