{"id":26211,"date":"2023-06-05T09:30:44","date_gmt":"2023-06-05T08:30:44","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=26211"},"modified":"2023-06-05T18:21:44","modified_gmt":"2023-06-05T17:21:44","slug":"graus-celsius-e-graus-fahrenheit","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=26211","title":{"rendered":"Graus Celsius e graus Fahrenheit"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_26211' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_26211' class='GTTabs_curr'><a  id=\"26211_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_26211' ><a  id=\"26211_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_26211'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Para medir a temperatura podem utilizar-se term\u00f3metros graduados em graus Celsius ou term\u00f3metros graduados em graus Fahrenheit.<br \/>Para relacionar graus Celsius com graus Fahrenheit utiliza-se a f\u00f3rmula \\[F = 1,8C + 32\\] em que <em>C<\/em> representa o valor da temperatura em graus Celsius e <em>F<\/em> representa o correspondente valor em graus Fahrenheit.<\/p>\n<ol>\n<li>Determina o valor da temperatura, em graus Fahrenheit, correspondente a \u221225 graus Celsius.<br \/>Mostra como chegaste \u00e0 tua resposta.<\/li>\n<li>Determina o valor da temperatura, em graus Celsius, correspondente a 95 graus Fahrenheit.<br \/>Mostra como chegaste \u00e0 tua resposta.<\/li>\n<li>Nem o gr\u00e1fico A nem o gr\u00e1fico B traduzem a rela\u00e7\u00e3o \\(F = 1,8C + 32\\).<br \/>Apresenta uma raz\u00e3o para rejeitar o gr\u00e1fico A e uma raz\u00e3o para rejeitar o gr\u00e1fico B.<a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26214\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26214\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png\" data-orig-size=\"605,247\" 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_Pag208-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png\" class=\"aligncenter wp-image-26214\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1-300x122.png\" alt=\"\" width=\"520\" height=\"212\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1-300x122.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png 605w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/a><\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_26211' onClick='GTTabs_show(1,26211)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_26211'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Para medir a temperatura podem utilizar-se term\u00f3metros graduados em graus Celsius ou term\u00f3metros graduados em graus Fahrenheit.<br \/>Para relacionar graus Celsius com graus Fahrenheit utiliza-se a f\u00f3rmula \\[F = 1,8C + 32\\] em que <em>C<\/em> representa o valor da temperatura em graus Celsius e <em>F<\/em> representa o correspondente valor em graus Fahrenheit.<\/p>\n<\/blockquote>\n<ol>\n<li>\n<blockquote>Determina o valor da temperatura, em graus Fahrenheit, correspondente a \u221225 graus Celsius.<br \/>Mostra como chegaste \u00e0 tua resposta.<\/blockquote>\n<\/li>\n<li>\n<blockquote>Determina o valor da temperatura, em graus Celsius, correspondente a 95 graus Fahrenheit.<br \/>Mostra como chegaste \u00e0 tua resposta.<\/blockquote>\n<\/li>\n<li>\n<blockquote>Nem o gr\u00e1fico A nem o gr\u00e1fico B traduzem a rela\u00e7\u00e3o \\(F = 1,8C + 32\\).<br \/>Apresenta uma raz\u00e3o para rejeitar o gr\u00e1fico A e uma raz\u00e3o para rejeitar o gr\u00e1fico B.<a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"26214\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=26214\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png\" data-orig-size=\"605,247\" 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_Pag208-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png\" class=\"aligncenter wp-image-26214\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1-300x122.png\" alt=\"\" width=\"520\" height=\"212\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1-300x122.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1.png 605w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/a><\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol>\n<li>O valor da temperatura, em graus Fahrenheit, correspondente a \u221225 graus Celsius \u00e9 \u221213 \u00b0F, pois \\(F\\left( { &#8211; 25} \\right) = 1,8 \\times \\left( { &#8211; 25} \\right) + 32 = &#8211; 13\\).<br \/><br \/><\/li>\n<li>Resolvendo a equa\u00e7\u00e3o dada em ordem a C, vem: \\[\\begin{array}{*{20}{l}}{F = 1,8C + 32}&amp; \\Leftrightarrow &amp;{F = \\frac{9}{5}C + 32}\\\\{}&amp; \\Leftrightarrow &amp;{5F = 9C + 160}\\\\{}&amp; \\Leftrightarrow &amp;{C = \\frac{{5F &#8211; 160}}{9}}\\end{array}\\] Logo, o valor da temperatura, em graus Celsius, correspondente a 95 graus Fahrenheit \u00e9 35 \u00b0C, pois \\(C\\left( {95} \\right) = \\frac{{5 \\times 95 &#8211; 160}}{9} = \\frac{{475 &#8211; 160}}{9} = 35\\).<br \/><br \/><\/li>\n<li>O gr\u00e1fico A n\u00e3o traduz a rela\u00e7\u00e3o \\(F = 1,8C + 32\\), porque a uma temperatura de 15 \u00b0C n\u00e3o corresponde uma temperatura de 5 \u00b0F, mas sim de \\(F\\left( {15} \\right){\\rm{ }} = {\\rm{ }}1,8 \\times 15{\\rm{ }} + {\\rm{ }}32 = 59\\) \u00b0F.<br \/>O gr\u00e1fico B n\u00e3o traduz a rela\u00e7\u00e3o \\(F = 1,8C + 32\\), porque a uma temperatura de\u00a00 \u00b0C n\u00e3o corresponde uma temperatura de \u221232 \u00b0F, mas sim de 32 \u00b0F.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_26211' onClick='GTTabs_show(0,26211)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Para medir a temperatura podem utilizar-se term\u00f3metros graduados em graus Celsius ou term\u00f3metros graduados em graus Fahrenheit.Para relacionar graus Celsius com graus Fahrenheit utiliza-se a f\u00f3rmula \\[F = 1,8C + 32\\]&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":26215,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,714],"tags":[424,192,345],"series":[],"class_list":["post-26211","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-equacoes-literais-e-sistemas","tag-8-o-ano","tag-equacoes-literais","tag-funcao-afim"],"views":116,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/06\/8_Pag208-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26211","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=26211"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/26211\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/26215"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=26211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=26211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=26211"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=26211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}