{"id":14734,"date":"2018-04-21T18:50:00","date_gmt":"2018-04-21T17:50:00","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14734"},"modified":"2022-01-09T23:12:20","modified_gmt":"2022-01-09T23:12:20","slug":"o-sr-antonio-visita-o-irmao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14734","title":{"rendered":"O Sr. Ant\u00f3nio visita o irm\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_14734' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14734' class='GTTabs_curr'><a  id=\"14734_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14734' ><a  id=\"14734_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_14734'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O Sr. Ant\u00f3nio percebeu que o tempo, <em>t<\/em> (em horas), gasto para ir da sua cidade para a cidade onde morava o seu irm\u00e3o, pelo mesmo caminho, dependia da velocidade m\u00e9dia, <em>v<\/em> (em km\/h), do seu autom\u00f3vel.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14735\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14735\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png\" data-orig-size=\"587,119\" 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=\"Tabela\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png\" class=\"aligncenter wp-image-14735\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5-300x61.png\" alt=\"\" width=\"340\" height=\"69\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5-300x61.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png 587w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<ol>\n<li>Qual \u00e9 a dist\u00e2ncia percorrida pelo Sr. Ant\u00f3nio, quando vai visitar o irm\u00e3o, seguindo aquele caminho?<\/li>\n<li>Existe proporcionalidade entre as grandezas <em>v<\/em> e <em>t<\/em>?<br \/>\nExplica a tua resposta.<\/li>\n<li>Escreve uma express\u00e3o alg\u00e9brica que relacione o tempo gasto, <em>t<\/em>, com a velocidade m\u00e9dia, <em>v<\/em>, do autom\u00f3vel do Sr. Ant\u00f3nio.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14734' onClick='GTTabs_show(1,14734)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14734'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14735\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14735\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png\" data-orig-size=\"587,119\" 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=\"Tabela\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png\" class=\"aligncenter wp-image-14735\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5-300x61.png\" alt=\"\" width=\"340\" height=\"69\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5-300x61.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5.png 587w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<ol>\n<li>Quando vai visitar o irm\u00e3o, seguindo aquele caminho, o Sr. Ant\u00f3nio percorre 280 km.<br \/>\n\u00ad<\/li>\n<li>As grandezas <em>v<\/em> e <em>t<\/em>\u00a0s\u00e3o inversamente proporcionais, pois \u00e9 constante o produto das medidas correspondentes dessas grandezas:<br \/>\n\\[80 \\times 3,5 = 70 \\times 4 = 100 \\times 2,8 = 35 \\times 8 = 280\\]<\/li>\n<li>As express\u00f5es alg\u00e9bricas seguintes relacionam o tempo gasto, <em>t<\/em>, com a velocidade m\u00e9dia, <em>v<\/em>, do autom\u00f3vel do Sr. Ant\u00f3nio.<br \/>\n\\[\\begin{array}{*{20}{c}}{v \\times t = 280}&amp; \\Leftrightarrow &amp;{t = \\frac{{280}}{v}}&amp; \\Leftrightarrow &amp;{v = \\frac{{280}}{t}}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14734' onClick='GTTabs_show(0,14734)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O Sr. Ant\u00f3nio percebeu que o tempo, t (em horas), gasto para ir da sua cidade para a cidade onde morava o seu irm\u00e3o, pelo mesmo caminho, dependia da velocidade m\u00e9dia,&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14736,"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-14734","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":1092,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag115-5a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14734","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=14734"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14734\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14736"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14734"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}