{"id":"cb_question_bank:eeb39257-62a0-42a8-a97a-38020112027d","source_id":"cb_question_bank","source_item_id":"eeb39257-62a0-42a8-a97a-38020112027d","external_id":null,"ibn":"020395-DC","question_id":"8643d906","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The population of snow leopards in a certain area can be modeled by the function P defined above, where P of t is the population t years after 1990. Of the following, which is the best interpretation of the equation P of 30 equals 550 ?","stimulus":"P of t equals, 250 plus 10 t","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/521d4173d75877999ffc8a0a2ef8882e6147ef73e611aea85504901110dcaf69\" alt=\"P of t equals, 250 plus 10 t\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">The population of snow leopards in a certain area can be modeled by the function <span class=\"italic\">P</span> defined above, where <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/55d0315616e896f77028a3c14a9c809e36237a5c0472594f6ec5ba780d6ee1a7\" alt=\"P of t\"></span> is the population <span class=\"italic\">t</span> years after 1990. Of the following, which is the best interpretation of the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/88868cf8d0c983bc08d24338ee19e8742e64fac6cc2902bf289ebfca9eaddb48\" alt=\"P of 30 equals 550\"></span> ?</p>\n","rationale_html":"<p>Choice C is correct. It’s given that <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/55d0315616e896f77028a3c14a9c809e36237a5c0472594f6ec5ba780d6ee1a7\" alt=\"P of t \"></span> represents the population of snow leopards <span class=\"italic\">t</span> years after 1990. <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e36ffe553317799f8a5b99a3db6214abef5b033ab544549783147c09f03fbe87\" alt=\"P of 30 equals 550 \"></span> corresponds to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8d45198ff5a95eb42020d8657da77a83262efcef7a79d46dc6726c27d95bbd90\" alt=\"t equals 30 \"></span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/39debf44f8ffa2a97d512fb266c4cfea716d80724fc0ad8e61d7e6c2d06e9153\" alt=\"P of t equals 550\"></span>. It follows that <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8d45198ff5a95eb42020d8657da77a83262efcef7a79d46dc6726c27d95bbd90\" alt=\"t equals 30 \"></span> corresponds to 30 years after 1990, or 2020. Thus, the best interpretation of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e36ffe553317799f8a5b99a3db6214abef5b033ab544549783147c09f03fbe87\" alt=\"P of 30 equals 550 \"></span> is that the snow leopard population in this area is predicted to be 550 in the year 2020.</p><p>Choices A and B are incorrect and may result from reversing the interpretations of <span class=\"italic\">t</span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/55d0315616e896f77028a3c14a9c809e36237a5c0472594f6ec5ba780d6ee1a7\" alt=\"P of t\"></span>. Choice D is incorrect and may result from determining that 30 years after 1990 is 2030, not 2020.</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.616000+00:00","source_updated_at":"2023-08-02T20:25:59.616000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">The snow leopard population in this area is predicted to be 30 in the year 2020.</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">The snow leopard population in this area is predicted to be 30 in the year 2030.</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">The snow leopard population in this area is predicted to be 550 in the year 2020.</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">The snow leopard population in this area is predicted to be 550 in the year 2030.</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}}