{"id":6469,"date":"2011-02-01T16:05:56","date_gmt":"2011-02-01T16:05:56","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6469"},"modified":"2022-01-18T01:15:11","modified_gmt":"2022-01-18T01:15:11","slug":"a-bandeirada-dos-taxis","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6469","title":{"rendered":"A bandeirada dos t\u00e1xis"},"content":{"rendered":"<p><ul id='GTTabs_ul_6469' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6469' class='GTTabs_curr'><a  id=\"6469_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6469' ><a  id=\"6469_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_6469'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/taxi.gif\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6470\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6470\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/taxi.gif\" data-orig-size=\"320,200\" 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;}\" data-image-title=\"T\u00e1xi\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/taxi.gif\" class=\"alignright size-medium wp-image-6470\" title=\"T\u00e1xi\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/taxi-300x187.gif\" alt=\"\" width=\"210\" height=\"131\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/taxi-300x187.gif 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/taxi-150x93.gif 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/taxi.gif 320w\" sizes=\"auto, (max-width: 210px) 100vw, 210px\" \/><\/a>Em Coimbra, a bandeirada dos t\u00e1xis, no servi\u00e7o diurno, \u00e9 de 1,80 \u20ac e o pre\u00e7o da tarifa (unidade espa\u00e7o\/tempo) \u00e9 de 0,10 \u20ac.<\/p>\n<ol>\n<li>Expressa, numa tabela, o pre\u00e7o pago ao fim de 4,5 e 10 dessas unidades.<\/li>\n<li>Trata-se de uma fun\u00e7\u00e3o de proporcionalidade direta? Justifica.<\/li>\n<li>Esbo\u00e7a o gr\u00e1fico dessa fun\u00e7\u00e3o.<\/li>\n<li>Representa, atrav\u00e9s de uma express\u00e3o anal\u00edtica, a fun\u00e7\u00e3o que traduz o pre\u00e7o a pagar ao fim de qualquer viagem.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6469' onClick='GTTabs_show(1,6469)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6469'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\n<table class=\"aligncenter\" style=\"width: 60%;\" border=\"1\" cellspacing=\"2\" cellpadding=\"1\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><strong>u<\/strong><\/td>\n<td>Unidades espa\u00e7o\/tempo<\/td>\n<td style=\"text-align: center;\">0<\/td>\n<td style=\"text-align: center;\">4,5<\/td>\n<td style=\"text-align: center;\">10<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>c<\/strong><\/td>\n<td>Custo (\u20ac)<\/td>\n<td style=\"text-align: center;\">1,80<\/td>\n<td style=\"text-align: center;\">2,25<\/td>\n<td style=\"text-align: center;\">2,80<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>C\u00e1lculos: $0\\times 0,1+1,8=1,8$; $4,5\\times 0,1+1,8=2,25$; $10\\times 0,1+1,8=2,8$.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>N\u00e3o se trata de uma fun\u00e7\u00e3o de proporcionalidade direta, pois n\u00e3o \u00e9 constante a raz\u00e3o entre os valores correspondentes das duas grandezas: $\\frac{2,25}{4,5}=0,5$ e $\\frac{2,80}{10}=0,28$.<br \/>\n\u00ad<\/li>\n<li><span class=\"alignright\"><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"float: right;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":434,\r\n\"height\":290,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 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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, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 1,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\n<\/script><\/span>O gr\u00e1fico da fun\u00e7\u00e3o est\u00e1 esbo\u00e7ado no referencial cartesiano apresentado \u00e0 direita.<br \/>\n\u00ad<\/li>\n<li>A express\u00e3o <span style=\"color: #ff0000;\">$c=0,1\\,u+1,8$<\/span> traduz o pre\u00e7o a pagar (c, em euros) no final da viagem, em fun\u00e7\u00e3o do n\u00famero de unidades espa\u00e7o\/tempo (u) decorridas.<br \/>\n\u00ad<\/li>\n<\/ol>\n<p>NOTA:<br \/>\nO modelo considerado neste problema \u00e9 uma simplifica\u00e7\u00e3o da situa\u00e7\u00e3o real.<\/p>\n<ul>\n<li><a href=\"http:\/\/pt.wikipedia.org\/wiki\/Tax%C3%ADmetro\" target=\"_blank\" rel=\"noopener\">Tax\u00edmetro<\/a><\/li>\n<\/ul>\n<p><style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/VBbzLX5iGRg\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div><br \/>\n\u00ad<br \/>\nFaz a proposta de um gr\u00e1fico mais pr\u00f3ximo da situa\u00e7\u00e3o real.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6469' onClick='GTTabs_show(0,6469)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Em Coimbra, a bandeirada dos t\u00e1xis, no servi\u00e7o diurno, \u00e9 de 1,80 \u20ac e o pre\u00e7o da tarifa (unidade espa\u00e7o\/tempo) \u00e9 de 0,10 \u20ac. Expressa, numa tabela, o pre\u00e7o pago ao&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20570,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,127],"tags":[128,130],"series":[],"class_list":["post-6469","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-funcoes","tag-funcoes-2","tag-proporcionalidade-directa"],"views":2712,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8V1Pag072-5-b_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6469","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=6469"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6469\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20570"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6469"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}