{"id":17262,"date":"2020-02-29T20:58:51","date_gmt":"2020-02-29T20:58:51","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/?post_type=chapter&#038;p=17262"},"modified":"2020-09-11T00:29:45","modified_gmt":"2020-09-11T00:29:45","slug":"reading-percent-data-from-graphs","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/chapter\/reading-percent-data-from-graphs\/","title":{"raw":"4.2.d - Reading Percent Data from Graphs","rendered":"4.2.d &#8211; Reading Percent Data from Graphs"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Read and interpret data from pie charts as percents<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h2>Pie Charts<\/h2>\r\nCircle graphs, or pie charts, represent data as sections of the circle (or \u201cpieces of the pie\u201d), corresponding to their percentage of the whole. Circle graphs are often used to show how a whole set of data is broken down into individual components.\r\n\r\nHere\u2019s an example. At the beginning of a semester, a teacher talks about how she will determine student grades. She says, \u201cHalf your grade will be based on the final exam and \u00a0[latex]20\\%[\/latex] will be determined by quizzes. A class project will also be worth [latex]20\\%[\/latex] and class participation will count for [latex]10\\%[\/latex].\u201d In addition to telling the class this information, she could also create a circle graph.\r\n<p align=\"center\"><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/117\/2016\/04\/20210251\/image074.gif\" width=\"373\" height=\"264\" \/><\/p>\r\nThis graph is useful because it relates each part\u2014the final exam, the quizzes, the class project, and the class participation\u2014to the whole.\r\n<div class=\"bcc-box bcc-info\">\r\n<h3>Example<\/h3>\r\nIf the total number of points possible in the class is \u00a0[latex]500[\/latex], how many points is the final exam worth?\r\n\r\n[reveal-answer q=\"956080\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"956080\"]Simplify the problem by eliminating extra words.\r\n<p style=\"text-align: center\">What is [latex]50\\%[\/latex] of [latex]500[\/latex]?<\/p>\r\nIdentify the percent, the base, and the amount.\r\n\r\nPercent: [latex]50\\%[\/latex] = [latex]0.50[\/latex]\r\nBase: \u00a0[latex]500[\/latex]\r\nAmount: [latex]n[\/latex]\r\n\r\nWrite the percent equation.\r\n<p style=\"text-align: center\">[latex]\\begin{array}{c}\\text{Percent}\\cdot\\text{Base}=\\text{Amount}\\\\0.50\\cdot500=n\\end{array}[\/latex]<\/p>\r\nMultiply.\r\n<p style=\"text-align: center\">[latex]\\left(0.50\\right)\\left(500\\right) = n[\/latex]<\/p>\r\n<p style=\"text-align: center\">[latex]250 = n[\/latex]<\/p>\r\n\r\n<h4>Answer<\/h4>\r\nThis tells us that the final is worth [latex]250[\/latex] points.\r\n<p style=\"text-align: center\">[\/hidden-answer]<\/p>\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Try It<\/h3>\r\n[ohm_question]31324[\/ohm_question]\r\n\r\n<\/div>\r\nIn the following video, an example of using a pie chart to determine a percent of a whole is shown.\r\n\r\nhttps:\/\/youtu.be\/TAUDMvl8Vg8","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Read and interpret data from pie charts as percents<\/li>\n<\/ul>\n<\/div>\n<h2>Pie Charts<\/h2>\n<p>Circle graphs, or pie charts, represent data as sections of the circle (or \u201cpieces of the pie\u201d), corresponding to their percentage of the whole. Circle graphs are often used to show how a whole set of data is broken down into individual components.<\/p>\n<p>Here\u2019s an example. At the beginning of a semester, a teacher talks about how she will determine student grades. She says, \u201cHalf your grade will be based on the final exam and \u00a0[latex]20\\%[\/latex] will be determined by quizzes. A class project will also be worth [latex]20\\%[\/latex] and class participation will count for [latex]10\\%[\/latex].\u201d In addition to telling the class this information, she could also create a circle graph.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/117\/2016\/04\/20210251\/image074.gif\" width=\"373\" height=\"264\" alt=\"image\" \/><\/p>\n<p>This graph is useful because it relates each part\u2014the final exam, the quizzes, the class project, and the class participation\u2014to the whole.<\/p>\n<div class=\"bcc-box bcc-info\">\n<h3>Example<\/h3>\n<p>If the total number of points possible in the class is \u00a0[latex]500[\/latex], how many points is the final exam worth?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q956080\">Show Solution<\/span><\/p>\n<div id=\"q956080\" class=\"hidden-answer\" style=\"display: none\">Simplify the problem by eliminating extra words.<\/p>\n<p style=\"text-align: center\">What is [latex]50\\%[\/latex] of [latex]500[\/latex]?<\/p>\n<p>Identify the percent, the base, and the amount.<\/p>\n<p>Percent: [latex]50\\%[\/latex] = [latex]0.50[\/latex]<br \/>\nBase: \u00a0[latex]500[\/latex]<br \/>\nAmount: [latex]n[\/latex]<\/p>\n<p>Write the percent equation.<\/p>\n<p style=\"text-align: center\">[latex]\\begin{array}{c}\\text{Percent}\\cdot\\text{Base}=\\text{Amount}\\\\0.50\\cdot500=n\\end{array}[\/latex]<\/p>\n<p>Multiply.<\/p>\n<p style=\"text-align: center\">[latex]\\left(0.50\\right)\\left(500\\right) = n[\/latex]<\/p>\n<p style=\"text-align: center\">[latex]250 = n[\/latex]<\/p>\n<h4>Answer<\/h4>\n<p>This tells us that the final is worth [latex]250[\/latex] points.<\/p>\n<p style=\"text-align: center\"><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Try It<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm31324\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=31324&theme=oea&iframe_resize_id=ohm31324&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the following video, an example of using a pie chart to determine a percent of a whole is shown.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Percent App: Find the Percent of An Amount After Reading a Pie Chart\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/TAUDMvl8Vg8?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n","protected":false},"author":253111,"menu_order":11,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"099e7b50d88d4d22bec607bc86049e89, 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