{"id":"cb_practice_pdf:t9-math-m2-q16","source_id":"cb_practice_pdf","source_item_id":"t9-math-m2-q16","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-9","module_number":2,"position":16,"stem":"7% The population of Greenville increased by from 2015 to 2016. If the 2016 population is k times the 2015 population, what is the value of k?","stimulus":"","stimulus_html":null,"stem_html":"<p>7% The population of Greenville increased by from 2015 to 2016. If the 2016 population is k times the 2015 population, what is the value of k?</p>","rationale_html":"<p>Choice C is correct. Let x be the 2015 population of Greenville. It’s given that the 7% population increased by from 2015 to 2016. The increase in population can 0.07 be written as ^ hx. The 2016 population of Greenville is given as the sum of the 2015 population of Greenville and the increase in population from 2015 to 2016. + 0.07 1.07 1.07 This can be rewritten as x ^ hx, or x. Therefore, the value of k is . Choice A is incorrect. This is the percent, represented as a decimal, that the population increased from 2015 to 2016, not the value of k. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect. This is 70% 7% the value of k if the population increased by , not , from 2015 to 2016.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>0.07</p>","ord":0},{"label":"B","content_html":"<p>0.7</p>","ord":1},{"label":"C","content_html":"<p>1.07</p>","ord":2},{"label":"D","content_html":"<p>1.7</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}}