{"id":"agieval_sat:d1af70e5408a653cd32f378ef56ac906","source_id":"agieval_sat","source_item_id":"d1af70e5408a653cd32f378ef56ac906","external_id":"hails/agieval-sat-math","ibn":null,"question_id":null,"program":"SAT (pre-2016)","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees' pollen grains per square centimeter that were deposited each year within layers of a lake's sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1 % annual increase in the number of grains per square centimeter thereafter. Which of the following functions models P(t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?","stimulus":"","stimulus_html":null,"stem_html":"<p>Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees&#x27; pollen grains per square centimeter that were deposited each year within layers of a lake&#x27;s sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1 % annual increase in the number of grains per square centimeter thereafter. Which of the following functions models P(t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?</p>","rationale_html":null,"correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>P(t)=310^t</p>","ord":0},{"label":"B","content_html":"<p>P(t)=310^1.01 t</p>","ord":1},{"label":"C","content_html":"<p>P(t)=310(0.99)^t</p>","ord":2},{"label":"D","content_html":"<p>P(t)=310(1.01)^t</p>","ord":3}],"attribution":{"source_id":"agieval_sat","source_name":"AGIEval SAT subsets (sat-math, sat-en)","rights_holder":"College Board (via the AGIEval benchmark)","canonical_url":"https://github.com/ruixiangcui/AGIEval","retrieved_from":"https://datasets-server.huggingface.co/rows","attribution":"Questions from the AGIEval benchmark's SAT subsets, derived from pre-2016 College Board SAT exams.","disclaimer":"These items follow the pre-2016 paper SAT format and do not reflect the current digital SAT. Useful as a benchmark set, not as current test preparation.","license":"Questions derived from pre-2016 College Board SAT exams and remain College Board copyright upstream. AGIEval is published for research.","redistributable":false,"item_count":425}}