{"id":25349,"date":"2023-04-22T11:51:55","date_gmt":"2023-04-22T10:51:55","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25349"},"modified":"2023-05-05T15:04:45","modified_gmt":"2023-05-05T14:04:45","slug":"um-tanque-cheio-de-agua","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25349","title":{"rendered":"Um tanque cheio de \u00e1gua"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25349' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25349' class='GTTabs_curr'><a  id=\"25349_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25349' ><a  id=\"25349_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_25349'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25351\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25351\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17.png\" data-orig-size=\"137,188\" 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_Pag177-17\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17.png\" class=\"size-full wp-image-25351 alignright\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17.png\" alt=\"\" width=\"137\" height=\"188\" \/>Um tanque est\u00e1 cheio com 500 litros de \u00e1gua.<br \/>Para esvazi\u00e1-lo, abrimos um torneira por onde saem 10 litros de de \u00e1gua por minuto.<\/p>\n<ol>\n<li>Quantos litros de \u00e1gua, <em>y<\/em>, restam no tanque alguns minutos, <em>x<\/em>, depois da abertura do ralo?<\/li>\n<li>Ao fim de 5 minutos, quantos litros de \u00e1gua ainda restavam no tanque?<\/li>\n<li>Elabora uma tabela de pares (<em>x<\/em>, <em>y<\/em>), escolhendo valores para <em>x<\/em> e calculando <em>y<\/em>.<\/li>\n<li>Representa graficamente esta situa\u00e7\u00e3o.<\/li>\n<li>Quanto tempo demora a esvaziar completamente o tanque?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25349' onClick='GTTabs_show(1,25349)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25349'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25351\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25351\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17.png\" data-orig-size=\"137,188\" 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_Pag177-17\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17.png\" class=\"size-full wp-image-25351 alignright\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17.png\" alt=\"\" width=\"137\" height=\"188\" \/>Um tanque est\u00e1 cheio com 500 litros de \u00e1gua.<br \/>Para esvazi\u00e1-lo, abrimos um torneira por onde saem 10 litros de de \u00e1gua por minuto.<\/p>\n<\/blockquote>\n<ol>\n<li>\n<blockquote>Quantos litros de \u00e1gua, y, restam no tanque alguns minutos, x, depois da abertura do ralo?<\/blockquote>\n<\/li>\n<li>\n<blockquote>Ao fim de 5 minutos, quantos litros de \u00e1gua ainda restavam no tanque?<\/blockquote>\n<\/li>\n<li>\n<blockquote>Elabora uma tabela de pares (<em>x<\/em>, <em>y<\/em>), escolhendo valores para <em>x<\/em> e calculando <em>y<\/em>.<\/blockquote>\n<\/li>\n<li>\n<blockquote>Representa graficamente esta situa\u00e7\u00e3o.<\/blockquote>\n<\/li>\n<li>\n<blockquote>Quanto tempo demora a esvaziar completamente o tanque?<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol>\n<li>Ao fim de <em>x<\/em> minutos, depois da abertura do ralo, restam no tanque \\(y = 500 &#8211; 10x\\) litros de \u00e1gua.<br \/><br \/><\/li>\n<li>Ao fim de 5 minutos, ainda restavam no tanque \\(y\\left( 5 \\right) = 500 &#8211; 10 \\times 5 = 450\\) litros de \u00e1gua.<br \/><br \/><\/li>\n<li>A tabela de pares (<em>x<\/em>, <em>y<\/em>), elaborada em conformidade com o pedido:<br \/>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 14.2857%;\"><em>x<\/em> (min)<\/td>\n<td style=\"width: 14.2857%;\">0<\/td>\n<td style=\"width: 14.2857%;\">10<\/td>\n<td style=\"width: 14.2857%;\">20<\/td>\n<td style=\"width: 14.2857%;\">30<\/td>\n<td style=\"width: 14.2857%;\">40<\/td>\n<td style=\"width: 14.2857%;\">50<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 14.2857%;\"><em>y<\/em> (l)<\/td>\n<td style=\"width: 14.2857%;\">500<\/td>\n<td style=\"width: 14.2857%;\">400<\/td>\n<td style=\"width: 14.2857%;\">300<\/td>\n<td style=\"width: 14.2857%;\">200<\/td>\n<td style=\"width: 14.2857%;\">100<\/td>\n<td style=\"width: 14.2857%;\">0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li>Apresenta-se seguidamente uma representa\u00e7\u00e3o gr\u00e1fica da situa\u00e7\u00e3o.<br \/><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25362\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25362\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico.png\" data-orig-size=\"2237,1221\" 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_Pag177-17_Grafico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico-1024x559.png\" class=\"aligncenter wp-image-25362\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico-300x164.png\" alt=\"\" width=\"720\" height=\"393\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico-300x164.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico-1024x559.png 1024w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico-768x419.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico-1536x838.png 1536w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_Grafico-2048x1118.png 2048w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/a><\/li>\n<li>O tanque demora 50 minutos a esvaziar completamente.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25349' onClick='GTTabs_show(0,25349)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Um tanque est\u00e1 cheio com 500 litros de \u00e1gua.Para esvazi\u00e1-lo, abrimos um torneira por onde saem 10 litros de de \u00e1gua por minuto. Quantos litros de \u00e1gua, y, restam no tanque&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25352,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,344],"series":[],"class_list":["post-25349","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-graficos-de-funcoes-afins","tag-8-o-ano","tag-funcao-afim","tag-grafico"],"views":105,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-17_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25349","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=25349"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25349\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25352"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25349"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}