{"id":14827,"date":"2018-04-23T23:16:27","date_gmt":"2018-04-23T22:16:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14827"},"modified":"2022-01-10T00:20:07","modified_gmt":"2022-01-10T00:20:07","slug":"quatro-amigas-vao-alugar-um-apartamento","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14827","title":{"rendered":"Quatro amigas v\u00e3o alugar um apartamento"},"content":{"rendered":"<p><ul id='GTTabs_ul_14827' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14827' class='GTTabs_curr'><a  id=\"14827_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14827' ><a  id=\"14827_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_14827'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14828\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14828\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png\" data-orig-size=\"520,245\" 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=\"Apartamento\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png\" class=\"alignright size-medium wp-image-14828\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a-300x141.png\" alt=\"\" width=\"300\" height=\"141\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a-300x141.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a-720x340.png 720w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png 520w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Quatro amigas v\u00e3o alugar um apartamento, no Algarve, para gozarem duas semanas de f\u00e9rias. O valor do aluguer ser\u00e1 dividido igualmente pelas raparigas. Cada uma delas pagar\u00e1 400 euros.<\/p>\n<ol>\n<li>Quanto pagar\u00e1 cada uma das raparigas se ao grupo se juntar mais uma rapariga?\u00a0Mostra como chegaste \u00e0 tua resposta.<\/li>\n<li>Qual das equa\u00e7\u00f5es seguintes traduz a rela\u00e7\u00e3o entre o n\u00famero de amigas, <em>n<\/em>, e o valor a pagar, <em>p<\/em>, em euros, por cada uma delas?<br \/>\n[<strong>A<\/strong>] \\(p = \\frac{{1600}}{n}\\)\u00a0 \u00a0 \u00a0 [<strong>B<\/strong>] \\(p = \\frac{{400}}{n}\\)\u00a0 \u00a0 \u00a0 [<strong>C<\/strong>] \\(p = 400 + n\\)\u00a0 \u00a0 \u00a0 [<strong>D<\/strong>]\u00a0\\(p = 1600 + n\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14827' onClick='GTTabs_show(1,14827)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14827'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14828\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14828\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png\" data-orig-size=\"520,245\" 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=\"Apartamento\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png\" class=\"alignright size-medium wp-image-14828\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a-300x141.png\" alt=\"\" width=\"300\" height=\"141\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a-300x141.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a-720x340.png 720w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png 520w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Quatro amigas v\u00e3o alugar um apartamento, no Algarve, para gozarem duas semanas de f\u00e9rias. O valor do aluguer ser\u00e1 dividido igualmente pelas raparigas. Cada uma delas pagar\u00e1 400 euros.<\/p>\n<\/blockquote>\n<ol>\n<li>Comecemos por tabelar a informa\u00e7\u00e3o.<br \/>\n\u00ad<\/p>\n<table class=\" aligncenter\" style=\"width: 60%;\">\n<tfoot>\n<tr>\n<td><strong>Valor do aluguer do apartamento (em euros)<\/strong><\/td>\n<td><strong>1600<\/strong><\/td>\n<td><strong>1600<\/strong><\/td>\n<\/tr>\n<\/tfoot>\n<tbody>\n<tr>\n<td style=\"text-align: right;\">N\u00famero de amigas &#8211;\u00a0\\(n\\)<\/td>\n<td>4<\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: right;\">Valor individual a pagar (em euros) &#8211;\u00a0\\(p\\)<\/td>\n<td>400<\/td>\n<td>x<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Como as grandezas <em>n<\/em> e <em>p<\/em> s\u00e3o inversamente proporcionais, ent\u00e3o \u00e9 constante o produto das medidas correspondentes dessas grandezas:\\[\\begin{array}{*{20}{l}}{4 \\times 400 = 5 \\times x}&amp; \\Leftrightarrow &amp;{x = \\frac{{4 \\times 400}}{5}}\\\\{}&amp; \\Leftrightarrow &amp;{x = 320}\\end{array}\\]Portanto, se ao grupo se juntar mais uma rapariga, cada uma delas dever\u00e1 pagar 320 euros.<\/p>\n<\/li>\n<li>Como a constante de proporcionalidade inversa \u00e9 1600, ent\u00e3o ser\u00e1 \\(n \\times p = 1600\\). Donde se obt\u00e9m \\(p = \\frac{{1600}}{n}\\).<br \/>\nLogo, a alternativa correta \u00e9 a [<strong>A<\/strong>].<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14827' onClick='GTTabs_show(0,14827)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Quatro amigas v\u00e3o alugar um apartamento, no Algarve, para gozarem duas semanas de f\u00e9rias. O valor do aluguer ser\u00e1 dividido igualmente pelas raparigas. Cada uma delas pagar\u00e1 400 euros. Quanto pagar\u00e1&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14828,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,250],"series":[],"class_list":["post-14827","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-proporcionalidade-inversa-e-funcoes-algebricas","tag-9-o-ano","tag-proporcionalidade-inversa-2"],"views":1976,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag123-9a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14827","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=14827"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14827\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14828"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14827"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14827"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14827"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14827"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}