{"id":10468,"date":"2012-10-14T04:48:56","date_gmt":"2012-10-14T03:48:56","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10468"},"modified":"2022-01-20T00:31:07","modified_gmt":"2022-01-20T00:31:07","slug":"um-caracol-foi-observado-a-subir-um-muro","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10468","title":{"rendered":"Um caracol foi observado a subir um muro"},"content":{"rendered":"<p><ul id='GTTabs_ul_10468' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10468' class='GTTabs_curr'><a  id=\"10468_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10468' ><a  id=\"10468_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_10468'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Um caracol foi observado a subir um muro com $6$ m de altura.<\/p>\n<p>De dia sobe $3$ m, mas de noite, enquanto dorme, escorrega $2$ m.<\/p>\n<p>Quantos dias ir\u00e1 o caracol demora para chegar ao topo do muro?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10468' onClick='GTTabs_show(1,10468)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10468'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>A resposta tentadora ser\u00e1 $6$ dias, pois\u00a0o caracol est\u00e1 a $5$ m do topo do muro\u00a0no final do per\u00edodo noturno do primeiro dia.<\/p>\n<p>Contudo, essa resposta n\u00e3o \u00e9 correta, como vamos verificar:<\/p>\n<table class=\" aligncenter\" style=\"width: 60%;\" border=\"0\" align=\"center\">\n<caption>Altura do caracol durante a\u00a0subida do muro (em metro)<\/caption>\n<tbody>\n<tr>\n<td style=\"text-align: center; background-color: #fffacd;\"><strong>Dia<\/strong><\/td>\n<td style=\"text-align: center; background-color: #b0e0e6;\"><strong>Per\u00edodo diurno<\/strong><\/td>\n<td style=\"text-align: center; background-color: #778899;\"><strong>Per\u00edodo noturno<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #fffacd;\">1<\/td>\n<td style=\"text-align: center; background-color: #b0e0e6;\">$\\begin{array}{*{20}{c}} \u00a0 {}&amp;{}&amp;3 \\\\ \u00a0 {}&amp; \\nearrow &amp;{} \\\\ \u00a0 0&amp;{}&amp;{} \\end{array}$<\/td>\n<td style=\"text-align: center; background-color: #778899;\">$\\begin{array}{*{20}{c}} \u00a0 3&amp;{}&amp;{} \\\\ \u00a0 {}&amp; \\searrow &amp;{} \\\\ \u00a0 {}&amp;{}&amp;1 \\end{array}$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #fffacd;\">2<\/td>\n<td style=\"text-align: center; background-color: #b0e0e6;\">\u00a0$\\begin{array}{*{20}{c}} \u00a0 {}&amp;{}&amp;4 \\\\ \u00a0 {}&amp; \\nearrow &amp;{} \\\\ \u00a0 1&amp;{}&amp;{} \\end{array}$<\/td>\n<td style=\"text-align: center; background-color: #778899;\">$\\begin{array}{*{20}{c}} \u00a0 4&amp;{}&amp;{} \\\\ \u00a0 {}&amp; \\searrow &amp;{} \\\\ \u00a0 {}&amp;{}&amp;2 \\end{array}$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #fffacd;\">3<\/td>\n<td style=\"text-align: center; background-color: #b0e0e6;\">$\\begin{array}{*{20}{c}} \u00a0 {}&amp;{}&amp;5 \\\\ \u00a0 {}&amp; \\nearrow &amp;{} \\\\ \u00a0 2&amp;{}&amp;{} \\end{array}$<\/td>\n<td style=\"text-align: center; background-color: #778899;\">$\\begin{array}{*{20}{c}} \u00a0 5&amp;{}&amp;{} \\\\ \u00a0 {}&amp; \\searrow &amp;{} \\\\ \u00a0 {}&amp;{}&amp;3 \\end{array}$<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center; background-color: #fffacd;\">4<\/td>\n<td style=\"text-align: center; background-color: #b0e0e6;\">\u00a0$\\begin{array}{*{20}{c}} \u00a0 {}&amp;{}&amp;6 \\\\ \u00a0 {}&amp; \\nearrow &amp;{} \\\\ \u00a0 3&amp;{}&amp;{} \\end{array}$<\/td>\n<td style=\"text-align: center; background-color: #778899;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div id=\"attachment_10483\" style=\"width: 211px\" class=\"wp-caption alignright\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/snail-on-the-wall.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10483\" data-attachment-id=\"10483\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=10483\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/snail-on-the-wall.jpg\" data-orig-size=\"335,723\" 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=\"Caracol\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/snail-on-the-wall.jpg\" class=\" wp-image-10483\" title=\"Caracol\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/snail-on-the-wall.jpg\" alt=\"\" width=\"201\" height=\"434\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/snail-on-the-wall.jpg 335w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/snail-on-the-wall-139x300.jpg 139w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/snail-on-the-wall-69x150.jpg 69w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/a><p id=\"caption-attachment-10483\" class=\"wp-caption-text\">O caracol a subir o muro<\/p><\/div>\n<p>Portanto, o caracol demora 4 dias a chegar ao topo do muro.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10468' onClick='GTTabs_show(0,10468)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Um caracol foi observado a subir um muro com $6$ m de altura. De dia sobe $3$ m, mas de noite, enquanto dorme, escorrega $2$ m. Quantos dias ir\u00e1 o caracol&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20712,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,319],"series":[],"class_list":["post-10468","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-numeros-inteiros-2"],"views":3424,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/7V1Pag019-9_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10468","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=10468"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10468\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20712"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10468"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10468"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10468"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10468"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}