{"id":20259,"date":"2024-11-10T22:25:42","date_gmt":"2024-11-11T01:25:42","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=20259"},"modified":"2024-11-19T18:43:56","modified_gmt":"2024-11-19T21:43:56","slug":"questao-148-enem-2024","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-148-enem-2024\/","title":{"rendered":"Quest\u00e3o 148 &#8211; ENEM 2024"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Uma caneca com \u00e1gua fervendo \u00e9 retirada de um forno de micro-ondas. A temperatura T, em grau Celsius. da caneca, em fun\u00e7\u00e3o do tempo t, em minuto, pode ser modelada pela fun\u00e7\u00e3o T(t) = a + 80b<sup>t<\/sup> representada no gr\u00e1fico a seguir.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"438\" height=\"342\" src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/11\/Uma-caneca-com-agua.png\" alt=\"\" class=\"wp-image-20260\" title=\"\" srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/11\/Uma-caneca-com-agua.png 438w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/11\/Uma-caneca-com-agua-300x234.png 300w\" sizes=\"(max-width: 438px) 100vw, 438px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Os valores das constantes a e b s\u00e3o<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A) a = 20; b = log(0,5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) a = 100; b = 0, 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) a = 20; b = (0, 5)<sup>1\/10<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) a = 20; b = (40)<sup>1\/10<\/sup>\/80<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E) a = 20; b = 40<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Substituindo o ponto (0,100) na fun\u00e7\u00e3o dada, teremos:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">100 = a + 80b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">100 = a + 80b<sup>0<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">100 = a + 80<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">100-80=a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a = 20<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para encontrar b, substituiremos o ponto (20,40), agora j\u00e1 sabendo quem \u00e9 o a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">40 = a + 80b<sup>20<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">40 = 20 + 80b<sup>20<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">20 = 80b<sup>20<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">20\/80 = b<sup>20<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b<sup>20<\/sup> = 1\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b<sup>20<\/sup> =(1\/2)2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b = [(1\/2)<sup>2<\/sup>]<sup>1\/20<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b = 0,5<sup>1\/10<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa C<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Veja a resolu\u00e7\u00e3o com mais detalhes no v\u00eddeo abaixo!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Quest\u00e3o 148 - Caderno Azul | Fun\u00e7\u00e3o Exponencial | MATEM\u00c1TICA ENEM 2024\" width=\"800\" height=\"450\" data-src=\"https:\/\/www.youtube.com\/embed\/rJbBy0ZA3F0?list=PLrzB-zHlu3aDTCXDjkYy3fWrYlEUHjCoR\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Uma caneca com \u00e1gua fervendo \u00e9 retirada de um forno de micro-ondas. A temperatura T, em grau Celsius. da caneca, em fun\u00e7\u00e3o do tempo t, em minuto, pode ser modelada pela fun\u00e7\u00e3o T(t) = a + 80bt representada no gr\u00e1fico a seguir. Os valores das constantes a e b s\u00e3o A) a = 20; b [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":20260,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17,151],"tags":[],"area-do-conhecimento":[132,118],"assunto":[61],"class_list":["post-20259","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-questoes-do-enem","category-2024-questoes-enem-regular","area-do-conhecimento-matematica","area-do-conhecimento-matematica-e-suas-tecnologias","assunto-funcao-exponencial"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/20259","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=20259"}],"version-history":[{"count":2,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/20259\/revisions"}],"predecessor-version":[{"id":21008,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/20259\/revisions\/21008"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media\/20260"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=20259"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=20259"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=20259"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=20259"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=20259"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}