{"id":25705,"date":"2023-05-16T18:25:08","date_gmt":"2023-05-16T17:25:08","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25705"},"modified":"2023-05-16T23:37:13","modified_gmt":"2023-05-16T22:37:13","slug":"no-cinema","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25705","title":{"rendered":"No cinema"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25705' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25705' class='GTTabs_curr'><a  id=\"25705_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25705' ><a  id=\"25705_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_25705'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Na bilheteira de um cinema, a Salom\u00e9 viu um cartaz com duas op\u00e7\u00f5es para a compra de bilhetes.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25706\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25706\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png\" data-orig-size=\"471,211\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag196-T8\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png\" class=\"aligncenter wp-image-25706\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8-300x134.png\" alt=\"\" width=\"420\" height=\"188\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8-300x134.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png 471w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/a><\/p>\n<p>Determina graficamente, em fun\u00e7\u00e3o do n\u00famero <em>x<\/em> de sess\u00f5es, a op\u00e7\u00e3o mais vantajosa para a Salom\u00e9.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25705' onClick='GTTabs_show(1,25705)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25705'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Na bilheteira de um cinema, a Salom\u00e9 viu um cartaz com duas op\u00e7\u00f5es para a compra de bilhetes.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25706\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25706\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png\" data-orig-size=\"471,211\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag196-T8\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png\" class=\"aligncenter wp-image-25706\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8-300x134.png\" alt=\"\" width=\"420\" height=\"188\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8-300x134.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8.png 471w\" sizes=\"auto, (max-width: 420px) 100vw, 420px\" \/><\/a><\/p>\n<blockquote>\n<p>Determina graficamente, em fun\u00e7\u00e3o do n\u00famero <em>x<\/em> de sess\u00f5es, a op\u00e7\u00e3o mais vantajosa para a Salom\u00e9.<\/p>\n<\/blockquote>\n<p><br \/>Designando por <em>y<\/em> o custo, em euros, da aquisi\u00e7\u00e3o de bilhetes, podemos traduzir as duas op\u00e7\u00f5es pelas equa\u00e7\u00f5es seguintes:<\/p>\n<table class=\" aligncenter\">\n<tbody>\n<tr>\n<td><strong>Op\u00e7\u00e3o<\/strong><\/td>\n<td><strong>Condi\u00e7\u00e3o<\/strong><\/td>\n<td><strong>Custo<\/strong><\/td>\n<\/tr>\n<tr>\n<td>A<\/td>\n<td>Assinatura de 28 \u20ac, mais 3 \u20ac por cada sess\u00e3o.<\/td>\n<td>\\(y = 3x + 28\\)<\/td>\n<\/tr>\n<tr>\n<td>B<\/td>\n<td>6,50 \u20ac por sess\u00e3o.<\/td>\n<td>\\(y = 6,5x\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Apesar de o problema ter por dom\u00ednio um subconjunto do conjunto \\({\\mathbb{N}_0}\\), vamos considerar que as equa\u00e7\u00f5es acima correspondem a duas fun\u00e7\u00f5es auxiliares com dom\u00ednio \\(\\mathbb{R}\\), correspondendo os seus gr\u00e1ficos a duas retas obl\u00edquas aos eixos coordenados, que passamos a representar no referencial cartesiano seguinte.<\/p>\n<p>\\[\\begin{array}{*{20}{c}}{\\begin{array}{*{20}{c}}x&amp;{y = 3x + 28}&amp;{{\\rm{Ponto}}}\\\\\\hline0&amp;{28}&amp;{Q\\left( {0,28} \\right)}\\\\4&amp;{40}&amp;{R\\left( {4,40} \\right)}\\end{array}}&amp;{}&amp;{}&amp;{\\begin{array}{*{20}{c}}x&amp;{y = 6,5x}&amp;{{\\rm{Ponto}}}\\\\\\hline0&amp;0&amp;{O\\left( {0,0} \\right)}\\\\{10}&amp;{65}&amp;{P\\left( {10,65} \\right)}\\end{array}}\\end{array}\\]<\/p>\n<p><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":860,\r\n\"height\":490,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 73 62 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71  14  68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 6\",\r\n\"showToolBarHelp\":false,\r\n\"showResetIcon\":true,\r\n\"enableLabelDrags\":false,\r\n\"enableShiftDragZoom\":true,\r\n\"enableRightClick\":false,\r\n\"errorDialogsActive\":false,\r\n\"useBrowserForJS\":false,\r\n\"allowStyleBar\":false,\r\n\"preventFocus\":false,\r\n\"showZoomButtons\":true,\r\n\"capturingThreshold\":3,\r\n\/\/ add code here to run when the applet starts\r\n\"appletOnLoad\":function(api){ \/* api.evalCommand('Segment((1,2),(3,4))');*\/ },\r\n\"showFullscreenButton\":true,\r\n\"scale\":1,\r\n\"disableAutoScale\":false,\r\n\"allowUpscale\":false,\r\n\"clickToLoad\":false,\r\n\"appName\":\"classic\",\r\n\"buttonRounding\":0.7,\r\n\"buttonShadows\":false,\r\n\"language\":\"pt\",\r\n\/\/ use this instead of ggbBase64 to load a material from geogebra.org\r\n\/\/ \"material_id\":\"RHYH3UQ8\",\r\n\/\/ use this instead of ggbBase64 to load a .ggb file\r\n\/\/ \"filename\":\"myfile.ggb\",\r\n\"ggbBase64\":\"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\",\r\n};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator DA=Data Analysis, FI=Function Inspector, macro=Macros\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\napplet.setPreviewImage('data:image\/png;base64,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\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','data:image\/png;base64,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');\r\n<\/script><br \/><br \/><\/p>\n<h6>As respostas ficam ao cuidado do leitor:<\/h6>\n<ul>\n<li>Se a Salom\u00e9 assistir a 5 sess\u00f5es, que op\u00e7\u00e3o lhe conv\u00e9m mais?<br \/>E se assistir a 20 sess\u00f5es?<\/li>\n<li>H\u00e1 algum n\u00famero de sess\u00f5es, para o qual o custo seja o mesmo, escolhendo-se a op\u00e7\u00e3o A ou a op\u00e7\u00e3o B?<\/li>\n<li>Qual \u00e9 a op\u00e7\u00e3o mais vantajosa para a Salom\u00e9?<\/li>\n<\/ul>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25705' onClick='GTTabs_show(0,25705)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na bilheteira de um cinema, a Salom\u00e9 viu um cartaz com duas op\u00e7\u00f5es para a compra de bilhetes. Determina graficamente, em fun\u00e7\u00e3o do n\u00famero x de sess\u00f5es, a op\u00e7\u00e3o mais vantajosa&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25707,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,714],"tags":[424,345,344,239],"series":[],"class_list":["post-25705","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-literais-e-sistemas","tag-8-o-ano","tag-funcao-afim","tag-grafico","tag-sistema-de-equacoes"],"views":80,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/05\/8_Pag196-T8_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25705","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25705"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25705\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25707"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25705"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25705"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25705"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}