{"id":25223,"date":"2023-04-19T13:23:39","date_gmt":"2023-04-19T12:23:39","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25223"},"modified":"2023-05-05T15:01:04","modified_gmt":"2023-05-05T14:01:04","slug":"duas-grandezas-diretamente-proporcionais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25223","title":{"rendered":"Duas grandezas diretamente proporcionais"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25223' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25223' class='GTTabs_curr'><a  id=\"25223_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25223' ><a  id=\"25223_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_25223'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Sabe-se que as grandezas <em>x<\/em> e <em>y<\/em> s\u00e3o diretamente proporcionais.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 40px;\">\n<tbody>\n<tr style=\"height: 20px;\">\n<td style=\"width: 16.6667%; height: 20px; background-color: #12156e;\"><span style=\"color: #ffffff;\">\\(x\\)<\/span><\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\(2\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\( &#8211; \\frac{1}{2}\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\u00a0<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\(11\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\u00a0<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 16.6667%; height: 20px; background-color: #12156e;\"><span style=\"color: #ffffff;\">\\(y\\)<\/span><\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\( &#8211; 8\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\u00a0<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\( &#8211; 12\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\u00a0<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\(20\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol>\n<li>Determina a constante de proporcionalidade.<\/li>\n<li>Copia e completa a tabela.<\/li>\n<li>Copia e completa a express\u00e3o: \\(y = \\ldots \\times x\\)<\/li>\n<li>Representa graficamente a fun\u00e7\u00e3o.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25223' onClick='GTTabs_show(1,25223)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25223'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Sabe-se que as grandezas <em>x<\/em> e <em>y<\/em> s\u00e3o diretamente proporcionais.<\/p>\n<\/blockquote>\n<table style=\"border-collapse: collapse; width: 100%; height: 40px;\">\n<tbody>\n<tr style=\"height: 20px;\">\n<td style=\"width: 16.6667%; height: 20px; background-color: #12156e;\"><span style=\"color: #ffffff;\">\\(x\\)<\/span><\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\(2\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\( &#8211; \\frac{1}{2}\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\"><span style=\"color: #0000ff;\">\\(3\\)<\/span><\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\(11\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\"><span style=\"color: #0000ff;\">\\( &#8211; 5\\)<\/span><\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 16.6667%; height: 20px; background-color: #12156e;\"><span style=\"color: #ffffff;\">\\(y\\)<\/span><\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\( &#8211; 8\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\"><span style=\"color: #0000ff;\">\\(2\\)<\/span><\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\( &#8211; 12\\)<\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\"><span style=\"color: #0000ff;\">\\( &#8211; 44\\)<\/span><\/td>\n<td style=\"width: 16.6667%; height: 20px; background-color: #d8e3e3;\">\\(20\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol>\n<li>A constante de proporcionalidade \u00e9 \\(\\frac{{ &#8211; 8}}{2} = &#8211; 4\\).<br \/><br \/><\/li>\n<li>A tabela est\u00e1 completada acima (a cor azul).<br \/><br \/><\/li>\n<li>Completando a express\u00e3o: \\(y = &#8211; 4x\\).<br \/><br \/><\/li>\n<li>Uma representa\u00e7\u00e3o gr\u00e1fica da fun\u00e7\u00e3o:<\/li>\n<\/ol>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25229\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25229\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4.png\" data-orig-size=\"752,763\" 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_Pag175-4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4.png\" class=\"aligncenter wp-image-25229\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4-296x300.png\" alt=\"\" width=\"580\" height=\"588\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4-296x300.png 296w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4-80x80.png 80w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4.png 752w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/a><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25223' onClick='GTTabs_show(0,25223)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Sabe-se que as grandezas x e y s\u00e3o diretamente proporcionais. \\(x\\) \\(2\\) \\( &#8211; \\frac{1}{2}\\) \u00a0 \\(11\\) \u00a0 \\(y\\) \\( &#8211; 8\\) \u00a0 \\( &#8211; 12\\) \u00a0 \\(20\\) Determina a constante&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25246,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,710,344],"series":[],"class_list":["post-25223","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-linear","tag-grafico"],"views":45,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag175-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25223","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=25223"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25223\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25246"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25223"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25223"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25223"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25223"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}