{"id":25017,"date":"2023-04-13T22:40:35","date_gmt":"2023-04-13T21:40:35","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25017"},"modified":"2023-04-18T10:32:16","modified_gmt":"2023-04-18T09:32:16","slug":"caixas-de-cd","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25017","title":{"rendered":"Caixas de CD"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25017' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25017' class='GTTabs_curr'><a  id=\"25017_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25017' ><a  id=\"25017_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_25017'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A tabela indica o custo de um certo n\u00fameros de caixas de CD.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25018\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25018\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png\" data-orig-size=\"479,113\" 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_Pag165-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png\" class=\"aligncenter wp-image-25018\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2-300x71.png\" alt=\"\" width=\"360\" height=\"85\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2-300x71.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png 479w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p>Considera a fun\u00e7\u00e3o que a cada quantidade de caixas faz corresponder o seu custo em euros.<\/p>\n<ol>\n<li>Qual \u00e9 a vari\u00e1vel independente?<br \/>E a vari\u00e1vel dependente?<\/li>\n<li>O custo \u00e9 diretamente proporcional ao n\u00famero de caixas compradas? Justifica.<\/li>\n<li>Escreve uma express\u00e3o alg\u00e9brica que relacione o custo, <em>C<\/em>, com o n\u00famero de caixas, <em>x<\/em>.<\/li>\n<li>Qual \u00e9 o custo de 50 caixas?<\/li>\n<li>Com 120 \u20ac quantas caixas de CD podemos comprar?<\/li>\n<li>Usa os dados da tabela e constr\u00f3i um gr\u00e1fico desta situa\u00e7\u00e3o.<br \/>Neste caso, faz sentido tra\u00e7ar uma reta unindo os pontos do gr\u00e1fico? Porqu\u00ea?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25017' onClick='GTTabs_show(1,25017)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25017'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>A tabela indica o custo de um certo n\u00fameros de caixas de CD.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25018\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25018\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png\" data-orig-size=\"479,113\" 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_Pag165-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png\" class=\"aligncenter wp-image-25018\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2-300x71.png\" alt=\"\" width=\"360\" height=\"85\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2-300x71.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2.png 479w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<blockquote>\n<p>Considera a fun\u00e7\u00e3o que a cada quantidade de caixas faz corresponder o seu custo em euros.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<ol>\n<li>O <em>n\u00famero de caixas<\/em> \u00e9 a vari\u00e1vel independente e o <em>custo<\/em> \u00e9 a vari\u00e1vel dependente.<br \/><br \/><\/li>\n<li>Sim, o custo \u00e9 diretamente proporcional ao n\u00famero de caixas compradas, pois \u00e9 constante o quociente entre os valores correspondentes das duas grandezas: \\(\\frac{{1,20}}{1} = \\frac{{2,40}}{2} = \\frac{{3,60}}{3} = 1,20\\).<br \/><br \/><\/li>\n<li>Uma express\u00e3o alg\u00e9brica que relaciona o custo, <em>C<\/em>, com o n\u00famero de caixas, <em>x,<\/em> \u00e9: \\(C = 1,20x\\).<br \/><br \/><\/li>\n<li>O custo de 50 caixas \u00e9 \\(1,20 \\times 5 = 6,00\\) \u20ac.<br \/><br \/><\/li>\n<li>Com 120 \u20ac podemos comprar \\(120 \\div 1,20 = 100\\) caixas de CD.<br \/><br \/><\/li>\n<li>Usando os dados da tabela foi constru\u00eddo um gr\u00e1fico desta situa\u00e7\u00e3o, que se apresenta abaixo.<br \/>Neste caso, n\u00e3o faz sentido tra\u00e7ar uma reta unindo os pontos do gr\u00e1fico, pois a vari\u00e1vel independente apenas pode assumir valores inteiros n\u00e3o negativos.<br \/><br \/><\/li>\n<\/ol>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25027\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25027\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico.png\" data-orig-size=\"1628,1050\" 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_Pag165-2_Grafico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico-1024x660.png\" class=\"aligncenter wp-image-25027\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico-300x193.png\" alt=\"\" width=\"480\" height=\"310\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico-300x193.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico-1024x660.png 1024w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico-768x495.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico-1536x991.png 1536w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_Grafico.png 1628w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/p>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25017' onClick='GTTabs_show(0,25017)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A tabela indica o custo de um certo n\u00fameros de caixas de CD. Considera a fun\u00e7\u00e3o que a cada quantidade de caixas faz corresponder o seu custo em euros. Qual \u00e9&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25019,"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-25017","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":91,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag165-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25017","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=25017"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25017\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25019"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25017"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25017"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25017"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25017"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}