{"id":"cb_question_bank:cc602ab8-47d1-4a61-a5bc-b9fd8e7873db","source_id":"cb_question_bank","source_item_id":"cc602ab8-47d1-4a61-a5bc-b9fd8e7873db","external_id":"20b7ec3b-23a0-4fbf-8db9-9d357de8c613","ibn":null,"question_id":"e9ef0e6b","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":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A model estimates that whales from the genus Eschrichtius travel 72 to 77 miles in the ocean each day during their migration. Based on this model, which inequality represents the estimated total number of miles, x , a whale from the genus Eschrichtius could travel in 16 days of its migration?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A model estimates that whales from the genus <em>Eschrichtius</em> travel <math alttext=\"72\"><mn>72</mn>\n</math> to <math alttext=\"77\"><mn>77</mn>\n</math> miles in the ocean each day during their migration. Based on this model, which inequality represents the estimated total number of miles, <math alttext=\"x\"><mi>x</mi>\n</math>, a whale from the genus<em> Eschrichtius</em> could travel in <math alttext=\"16\"><mn>16</mn>\n</math> days of its migration?</p>","rationale_html":"<p style=\"text-align: left;\">Choice B is correct. It's given that the model estimates that whales from the genus <em>Eschrichtius</em> travel <math alttext=\"72\"><mn>72</mn>\n</math> to <math alttext=\"77\"><mn>77</mn>\n</math> miles in the ocean each day during their migration. If one of these whales travels <math alttext=\"72\"><mn>72</mn>\n</math> miles each day for <math alttext=\"16\"><mn>16</mn>\n</math> days, then the whale travels <math alttext=\"72 left parenthesis 16 right parenthesis\"><mn>72</mn><mfenced><mn>16</mn></mfenced></math> miles total. If one of these whales travels <math alttext=\"77\"><mn>77</mn>\n</math> miles each day for <math alttext=\"16\"><mn>16</mn>\n</math> days, then the whale travels <math alttext=\"77 left parenthesis 16 right parenthesis\"><mn>77</mn><mfenced><mn>16</mn></mfenced></math> miles total. Therefore, the model estimates that in <math alttext=\"16\"><mn>16</mn>\n</math> days of its migration, a whale from the genus <em>Eschrichtius</em> could travel at least <math alttext=\"72 left parenthesis 16 right parenthesis\"><mn>72</mn><mfenced><mn>16</mn></mfenced></math> and&nbsp;at most <math alttext=\"77 left parenthesis 16 right parenthesis\"><mn>77</mn><mfenced><mn>16</mn></mfenced></math> miles total. Thus, the inequality <math alttext=\"left parenthesis 72 right parenthesis left parenthesis 16 right parenthesis less than or equals x less than or equals left parenthesis 77 right parenthesis left parenthesis 16 right parenthesis\"><mfenced><mn>72</mn></mfenced><mfenced><mn>16</mn></mfenced><mo>≤</mo><mi>x</mi><mo>≤</mo><mfenced><mn>77</mn></mfenced><mfenced><mn>16</mn></mfenced></math> represents the estimated total number of miles, <math alttext=\"x\"><mi>x</mi>\n</math>, a whale from the genus <em>Eschrichtius</em>&nbsp;could travel in <math alttext=\"16\"><mn>16</mn>\n</math> days of its migration.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.820000+00:00","source_updated_at":"2023-08-02T20:25:59.820000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"72 plus 16 less than or equals x less than or equals 77 plus 16\"><mn>72</mn><mo>+</mo><mn>16</mn><mo>≤</mo><mi>x</mi><mo>≤</mo><mn>77</mn><mo>+</mo><mn>16</mn></math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"left parenthesis 72 right parenthesis left parenthesis 16 right parenthesis less than or equals x less than or equals left parenthesis 77 right parenthesis left parenthesis 16 right parenthesis\"><mfenced><mn>72</mn></mfenced><mfenced><mn>16</mn></mfenced><mo>≤</mo><mi>x</mi><mo>≤</mo><mfenced><mn>77</mn></mfenced><mfenced><mn>16</mn></mfenced></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"72 less than or equals 16 plus x less than or equals 77\"><mn>72</mn><mo>≤</mo><mn>16</mn><mo>+</mo><mi>x</mi><mo>≤</mo><mn>77</mn></math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"72 less than or equals 16 x less than or equals 77\"><mn>72</mn><mo>≤</mo><mn>16</mn><mi>x</mi><mo>≤</mo><mn>77</mn></math></p>","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}}