{"id":"cb_practice_pdf:t6-math-m2-q9","source_id":"cb_practice_pdf","source_item_id":"t6-math-m2-q9","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-6","module_number":2,"position":9,"stem":"- ~ XY The ratio^-^-^-^-^-^-^-^- of the length of line segment to the length of line segment ZV is 6 to 1. If the length of XY line segment is 102 inches, what is the length, in ZV inches, of line segment?","stimulus":"","stimulus_html":null,"stem_html":"<p>- ~ XY The ratio^-^-^-^-^-^-^-^- of the length of line segment to the length of line segment ZV is 6 to 1. If the length of XY line segment is 102 inches, what is the length, in ZV inches, of line segment?</p>","rationale_html":"<p>Choice A is correct. It’s given that the ratio of the length of line segment XY to 6 the length of line segment ZV is 6 to 1, which means XY= 1. It’s given that the 102 ZV length of line segment XY is inches. If the length, in inches, of line , , segment ZV is represented by , the value of can be calculated by solving the 102 = 6 102 =6 , equation , 1, or , . Multiplying each side of this equation by yields 102=6, 17=, . Dividing each side of this equation by 6 yields . Therefore, the 17 length of line segment ZV is inches. Choice B is incorrect. This is the length, in inches, of line segment ZV if the length 576 102 of line segment XY is , not , inches. Choice C is incorrect. This is the length, in inches, of line segment XY, not line segment ZV. Choice D is incorrect. This is the length, in inches, of line segment ZV if the ratio of the length of line segment XY to the length of line segment ZV is 1 to 6, not 6 to 1.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>17</p>","ord":0},{"label":"B","content_html":"<p>96</p>","ord":1},{"label":"C","content_html":"<p>102</p>","ord":2},{"label":"D","content_html":"<p>612</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}