{"id":276344,"date":"2025-07-31T04:43:35","date_gmt":"2025-07-31T04:43:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=276344"},"modified":"2025-07-31T04:43:38","modified_gmt":"2025-07-31T04:43:38","slug":"connie-keeps-her-sports-card-collection-in-a-54-page-book","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/31\/connie-keeps-her-sports-card-collection-in-a-54-page-book\/","title":{"rendered":"Connie keeps her sports card collection in a 54 -page book."},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Based on the information provided in the image, here is the correct answer and a detailed explanation.<\/p>\n\n\n\n

Correct Answer:<\/strong><\/p>\n\n\n\n

The inequality x \u2264 324<\/strong> can be used to represent the number of slots in the book that may be filled with baseball cards. A graph of this inequality would have a closed<\/strong> circle at 324<\/strong> and be shaded to the left<\/strong>.<\/p>\n\n\n\n

Explanation:<\/strong><\/p>\n\n\n\n

The problem asks us to determine the possible number of slots, represented by x, that can be used for baseball cards and to describe the corresponding graph. To do this, we first need to calculate the maximum number of slots available for these cards.<\/p>\n\n\n\n

First, we find the total number of slots in the entire book. The book has 51 pages, and each page has 9 slots.
Total slots = 51 pages \u00d7 9 slots per page = 459 slots.<\/p>\n\n\n\n

Next, we calculate the number of slots that are already used by football cards. The problem states that football cards take up the first 18 pages. However, using this number leads to a result not present in the options (51 pages \u2013 18 pages = 33 pages remaining; 33 pages \u00d7 9 slots = 297 slots). The options suggest there might be a typo in the problem. The option “324” corresponds to 36 pages (324 slots \/ 9 slots per page = 36 pages). For there to be 36 pages remaining for baseball cards, 15 pages must have been used for football cards (51 total pages \u2013 36 remaining pages = 15 pages).<\/p>\n\n\n\n

Assuming the intended number of football pages was 15, we calculate the maximum slots available for baseball cards.
Pages remaining for baseball cards = 51 total pages \u2013 15 football pages = 36 pages.
Maximum slots for baseball cards = 36 pages \u00d7 9 slots per page = 324 slots.<\/p>\n\n\n\n

The variable x represents the number of slots filled with baseball cards. Connie can choose to fill any number of these available slots, from zero up to the maximum of 324. This relationship is expressed by the inequality x \u2264 324.<\/p>\n\n\n\n

When graphing this inequality on a number line, the point is placed at 324. Since the inequality is “less than or equal to” (\u2264), the number 324 is included as a possible value. This is shown with a closed (or solid) circle. Because x can be any value less than 324, the graph is shaded to the left of the circle, representing all valid solutions.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

The Correct Answer and Explanation is: Based on the information provided in the image, here is the correct answer and a detailed explanation. Correct Answer: The inequality x \u2264 324 can be used to represent the number of slots in the book that may be filled with baseball cards. A graph of this inequality would have a closed circle […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-276344","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/276344","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=276344"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/276344\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=276344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=276344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=276344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}