{"id":"cb_question_bank:713d1d26-6cd4-4fca-aed0-d7d29313edf5","source_id":"cb_question_bank","source_item_id":"713d1d26-6cd4-4fca-aed0-d7d29313edf5","external_id":null,"ibn":"028867-DC","question_id":"b31c3117","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The Karvonen formula above shows the relationship between Alice’s target heart rate H , in beats per minute (bpm), and the intensity level p of different activities. When p equals 0 , Alice has a resting heart rate. When p equals 1 , Alice has her maximum heart rate. It is recommended that p be between 0.5 and 0.85 for Alice when she trains. Which of the following inequalities describes Alice’s target training heart rate?","stimulus":"H equals, 120 p, plus 60","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/14d6fb76678339409439a0207f45ee17c677d9a8d524eced2ebfb975f53928ef\" alt=\"H equals, 120 p, plus 60\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">The Karvonen formula above shows the relationship between Alice’s target heart rate <span class=\"italic\">H</span>, in beats per minute (bpm), and the intensity level <span class=\"italic\">p</span> of different activities. When <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/500afaae9eb87d2df7935afd174e412f767c5c29551fe94668ec12f00a2b95de\" alt=\"p equals 0\"></span></span>, Alice has a resting heart rate. When <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1fab645b551a63224d3dfb0cfc11da8587add8156af487a2cf53e8ca2c7a9fe7\" alt=\"p equals 1\"></span></span>, Alice has her maximum heart rate. It is recommended that <span class=\"italic\">p</span> be between 0.5 and 0.85 for Alice when she trains. Which of the following inequalities describes Alice’s target training heart rate?</p>\n","rationale_html":"<p>Choice A is correct. When Alice trains, it’s recommended that <span class=\"italic\">p</span> be between 0.5 and 0.85. Therefore, her target training heart rate is represented by the values of <span class=\"italic\">H</span> corresponding to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/55d323808d60996afac446a3aa28497acbd7dab3ce56ff5d6778f93534df1dd1\" alt=\"0 point 5 is less than or equal to p, which is less than or equal to 0 point 8 5\"></span>. When <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9349a3186be68778943173dd57937c2db3632dd0ca9d43d4d32516167dff3699\" alt=\"p equals 0 point 5\"></span>, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6f0e30f2b695d2d400693cfbca78b50c0f6ec6b9a783533a451395564afa6ffb\" alt=\"H equals, 120 times 0 point 5, plus 60\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/424e0500778324ad1789faa72fa98ef17bbc1d628d45c0578a4646963efb9ef2\" alt=\"H equals 120\"></span>. When <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f52dd76f95a1fd23e37823179e36274356159438785663960e6bc430c57adc14\" alt=\"p equals 0 point 8 5\"></span>, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6794207c22b42460c013bca79bac00c578baf10f08ce21159c4dcace0cd45e73\" alt=\"H equals, 120 times 0 point 8 5, plus, 60\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/9dad12d673e199e8837d298420f66cd1ca6121cc887dd597a885b79512014105\" alt=\"H equals 162\"></span>. Therefore, the inequality that describes Alice’s target training heart rate is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dabcf75d18793be9a808158c8c5ee8edc4ec44927993e2d5ccc25382a6dbd295\" alt=\"120 is less than or equal to H, which is less than or equal to 162\"></span>.</p><p>Choice B is incorrect. This inequality describes Alice’s target heart rate for <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/453bab0513cd16f0734529f93e437f33e199d38a7db98319bb09cde4f4e615d0\" alt=\"0 point 3 5 is less than or equal to p, which is less than or equal to 0 point 5\"></span>. Choice C is incorrect. This inequality describes her target heart rate for <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0fa408e9188265d6587869590235ed1cc9775bb0808244138182a59323449e6c\" alt=\"0 is less than or equal to p, which is less than or equal to 0 point 8 5\"></span>. Choice D is incorrect. This inequality describes&nbsp; her target heart rate for <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/085e0140ded6aa41f07e52a0ff97386421da46d8c581ced311a874a9225ca9ce\" alt=\"0 is less than or equal to p, which is less than or equal to 0 point 3 5\"></span>.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.622000+00:00","source_updated_at":"2023-08-02T20:25:59.622000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dabcf75d18793be9a808158c8c5ee8edc4ec44927993e2d5ccc25382a6dbd295\" alt=\"120 is less than or equal to H, which is less than or equal to 162\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f160a4d57188a2659d3afb7548aaf7a68e01ddb627f7024dc39a8e9306646bd6\" alt=\"102 is less than or equal to H, which is less than or equal to 120\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/bde8e685ebe524cb844e609d5f31535e9959824a30e75f30f5da44816074531c\" alt=\"60 is less than or equal to H, which is less than or equal to 162\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5668f610d7a4bcf4c295564e3b905cb81f1fc3cdb78a797a1a910f7a95292442\" alt=\"60 is less than or equal to H, which is less than or equal to 102\"></span></span>\n          </p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}