{"id":7198,"date":"2011-11-23T02:29:21","date_gmt":"2011-11-23T02:29:21","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7198"},"modified":"2022-01-15T21:48:14","modified_gmt":"2022-01-15T21:48:14","slug":"um-rolo-de-fita","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7198","title":{"rendered":"Um rolo de fita"},"content":{"rendered":"<p><ul id='GTTabs_ul_7198' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7198' class='GTTabs_curr'><a  id=\"7198_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7198' ><a  id=\"7198_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_7198'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/ribbon.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7199\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7199\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/ribbon.jpg\" data-orig-size=\"224,239\" 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;}\" data-image-title=\"La\u00e7o\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/ribbon.jpg\" class=\"alignright size-full wp-image-7199\" title=\"La\u00e7o\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/ribbon.jpg\" alt=\"\" width=\"134\" height=\"143\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/ribbon.jpg 224w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/ribbon-140x150.jpg 140w\" sizes=\"auto, (max-width: 134px) 100vw, 134px\" \/><\/a>Numa loja existe um rolo de fita que queremos dividir em partes iguais para fazer la\u00e7os de enfeitar embrulhos.<\/p>\n<p>A tabela seguinte relaciona o comprimento de cada peda\u00e7o de fita com o n\u00famero de la\u00e7os que se quer fazer.<\/p>\n<table class=\" aligncenter\" style=\"width: 70%;\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"background-color: #ffe4e1; border: #d3d3d3 1px solid;\">$c$ &#8211; comprimento da fita (cm)<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">15<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">20<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">30<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">12<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">10<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">40<\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #ffe4e1; border: #d3d3d3 1px solid;\">$l$ &#8211; n\u00famero de la\u00e7os<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">200<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">150<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">100<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">250<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">300<\/td>\n<td style=\"text-align: center; border: #a9a9a9 1px solid;\">75<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol>\n<li>Se aumentarmos o n\u00famero de la\u00e7os, o que acontece ao comprimento de cada peda\u00e7o de fita?<\/li>\n<li>Se resolvermos duplicar o n\u00famero de la\u00e7os, o\u00a0que acontece ao comprimento dos peda\u00e7os de fita cortados?<\/li>\n<li>Existe proporcionalidade inversa entre as duas grandezas? Justifica.<\/li>\n<li>Qual a constante de proporcionalidade? Que representa?<\/li>\n<li>Escreve uma express\u00e3o anal\u00edtica que d\u00ea o comprimento da fita em fun\u00e7\u00e3o do n\u00famero de la\u00e7os.<\/li>\n<li>Representa graficamente $c$ em fun\u00e7\u00e3o de $l$.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7198' onClick='GTTabs_show(1,7198)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7198'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Se aumentarmos o n\u00famero de la\u00e7os, o comprimento de cada peda\u00e7o de fita ir\u00e1 diminuir.<br \/>\n\u00ad<\/li>\n<li>Se resolvermos duplicar o n\u00famero de la\u00e7os, o comprimento dos peda\u00e7os de fita cortados ir\u00e1 diminuir para metade.<br \/>\n\u00ad<\/li>\n<li>Sim, existe proporcionalidade inversa entre as duas grandezas, pois o produto dos valores correspondentes \u00e9 constante: $$15\\times 200=20\\times 150=30\\times 100=12\\times 250=10\\times 300=40\\times 75=3000$$<\/li>\n<li>A constante de proporcionalidade \u00e9 3000 e representa, em cent\u00edmetros, o comprimento da fita existente no rolo.<br \/>\n\u00ad<\/li>\n<li>Como $c\\times l=3000$, ent\u00e3o uma express\u00e3o anal\u00edtica que d\u00e1 o comprimento da fita em fun\u00e7\u00e3o do n\u00famero de la\u00e7os \u00e9: $$c=\\frac{3000}{l}$$<\/li>\n<li>Apresenta-se, seguidamente, a representa\u00e7\u00e3o\u00a0gr\u00e1fica de\u00a0$c$ em fun\u00e7\u00e3o de $l$.<br \/>\n\u00ad<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":727,\r\n\"height\":460,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 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\"};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator, DA=Data Analysis, FI=Function Inspector, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 1,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\n<\/script><\/p>\n<p style=\"text-align: left;\"><em>Proposta de Resolu\u00e7\u00e3o: Diogo, n.\u00ba 7, 9.\u00ba A (2011-12)<\/em><\/p>\n<p style=\"text-align: left;\">\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7198' onClick='GTTabs_show(0,7198)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Numa loja existe um rolo de fita que queremos dividir em partes iguais para fazer la\u00e7os de enfeitar embrulhos. A tabela seguinte relaciona o comprimento de cada peda\u00e7o de fita com&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20294,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,129,254,250],"series":[],"class_list":["post-7198","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-grafico-cartesiano","tag-hiperbole","tag-proporcionalidade-inversa-2"],"views":3671,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/9CA-Pag014-9_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7198","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=7198"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7198\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20294"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7198"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}