{"id":14799,"date":"2018-04-22T20:05:48","date_gmt":"2018-04-22T19:05:48","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14799"},"modified":"2022-01-10T00:06:53","modified_gmt":"2022-01-10T00:06:53","slug":"o-rui-foi-a-londres","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14799","title":{"rendered":"O Rui foi a Londres"},"content":{"rendered":"<p><ul id='GTTabs_ul_14799' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14799' class='GTTabs_curr'><a  id=\"14799_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14799' ><a  id=\"14799_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_14799'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14800\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14800\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5.png\" data-orig-size=\"627,413\" 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=\"Gr\u00e1fico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5.png\" class=\"alignright wp-image-14800\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5-300x198.png\" alt=\"\" width=\"400\" height=\"263\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5-300x198.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5.png 627w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>O Rui foi a Londres de 5 a 10 de fevereiro.<br \/>\nO gr\u00e1fico mostra o valor de 1 euro na moeda inglesa, a libra, durante os primeiros 15 dias do m\u00eas de fevereiro.<\/p>\n<ol>\n<li>Em que dias do m\u00eas de fevereiro, 1 euro valia 0,90 libras?<\/li>\n<li>No dia 4 de fevereiro, v\u00e9spera da partida pala Londres, o Rui trocou 100 \u20ac por libras.<br \/>\nQuantas libras recebeu?<\/li>\n<li>No dia seguinte \u00e0 sua chegada de viagem, 11 de fevereiro, o Rui foi trocar as libras que lhe sobraram por euros.<br \/>\nQual das express\u00f5es seguintes permite determinar quanto recebeu em euros, <em>E<\/em>, pela troca das libras, <em>L<\/em>, que lhe sobraram?<br \/>\n[<strong>A<\/strong>] \\(E = \\frac{9}{{10}}L\\)\u00a0 \u00a0 \u00a0 [<strong>B<\/strong>] \\(E = \\frac{{10}}{9}L\\)\u00a0 \u00a0 \u00a0 [<strong>C<\/strong>] \\(E = \\frac{9}{{10L}}\\)\u00a0 \u00a0 \u00a0 [<strong>D<\/strong>]\u00a0\\(E = \\frac{{10}}{{9L}}\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14799' onClick='GTTabs_show(1,14799)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14799'>\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\/9V2Pag121-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14800\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14800\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5.png\" data-orig-size=\"627,413\" 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=\"Gr\u00e1fico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5.png\" class=\"alignright wp-image-14800\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5-300x198.png\" alt=\"\" width=\"400\" height=\"263\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5-300x198.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5.png 627w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>O Rui foi a Londres de 5 a 10 de fevereiro.<br \/>\nO gr\u00e1fico mostra o valor de 1 euro na moeda inglesa, a libra, durante os primeiros 15 dias do m\u00eas de fevereiro.<\/p>\n<\/blockquote>\n<ol>\n<li>Nos dias 11 e 14 de fevereiro, 1 euro valia 0,90 libras.<br \/>\n\u00ad<\/li>\n<li>No dia 4 de fevereiro, 1 euro valia 0,89 libras.<br \/>\nNa troca dos 100 \u20ac, o Rui recebeu 89 libras:\\[\\begin{array}{*{20}{l}}{\\frac{1}{{0,89}} = \\frac{{100}}{x}}&amp; \\Leftrightarrow &amp;{x = 100 \\times 0,89}\\\\{}&amp; \\Leftrightarrow &amp;{x = 89}\\end{array}\\]<\/li>\n<li>No dia 4 de fevereiro, 1 euro valia 0,90 libras.<br \/>\nPortanto, vem:\\[\\begin{array}{*{20}{l}}{\\frac{1}{{0,90}} = \\frac{E}{L}}&amp; \\Leftrightarrow &amp;{\\frac{1}{{\\frac{9}{{10}}}} = \\frac{E}{L}}\\\\{}&amp; \\Leftrightarrow &amp;{\\frac{{10}}{9} = \\frac{E}{L}}\\\\{}&amp; \\Leftrightarrow &amp;{E = \\frac{{10}}{9}L}\\end{array}\\] Portanto, a alternativa correta \u00e9 a [<strong>B<\/strong>].<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14799' onClick='GTTabs_show(0,14799)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O Rui foi a Londres de 5 a 10 de fevereiro. O gr\u00e1fico mostra o valor de 1 euro na moeda inglesa, a libra, durante os primeiros 15 dias do m\u00eas&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14802,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,497],"series":[],"class_list":["post-14799","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-direta"],"views":2957,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag121-5a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14799","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=14799"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14799\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14802"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14799"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14799"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14799"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14799"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}