{"id":"cb_question_bank:a4a02325-aabe-4457-8381-73fccfb059d6","source_id":"cb_question_bank","source_item_id":"a4a02325-aabe-4457-8381-73fccfb059d6","external_id":null,"ibn":"025654-DC","question_id":"ebe4bde0","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.C.","skill":"Nonlinear 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 quadratic function graphed above models a particular measure of plant diversity as a function of the elevation in a region of Switzerland. According to the model, which of the following is closest to the elevation, in meters, at which plant diversity is greatest?","stimulus":"The figure presents the graph of a curve. The x axis is labeled “Elevation, in meters,” and the numbers 0 through 3,000, in increments of 500, are indicated. There are vertical gridlines drawn in between. The y axis is labeled “Measure of plant diversity,” and the numbers 0 through 14,000, in increments of 2,000, are indicated. The curve begins on the vertical axis at a point slightly above 10,000. The curve moves upward and to the right until it reaches its maximum at the point with coordinates 1,250 comma 13,000. Then the curve moves downward and to the right until it ends at 3,500 on the horizontal axis.","stimulus_html":"<div class=\"stimulus_reference \">\n\t<div class=\"standalone_image \"><img src=\"/api/assets/6025b5582ef519ab6cbd4e8f20907e019ff010b2160df1c84d5aaa10fd5abd26\" alt=\"The figure presents the graph of a curve. The x axis is labeled “Elevation, in meters,” and the numbers 0 through 3,000, in increments of 500, are indicated. There are vertical gridlines drawn in between. The y axis is labeled “Measure of plant diversity,” and the numbers 0 through 14,000, in increments of 2,000, are indicated. The curve begins on the vertical axis at a point slightly above 10,000. The curve moves upward and to the right until it reaches its maximum at the point with coordinates 1,250 comma 13,000. Then the curve moves downward and to the right until it ends at 3,500 on the horizontal axis.\" width=\"206\" height=\"230\"></div>\n</div>\n","stem_html":"<p class=\"stem_paragraph \">The quadratic function graphed above models a particular measure of plant diversity as a function of the elevation in a region of Switzerland. According to the model, which of the following is closest to the elevation, in meters, at which plant diversity is greatest?</p>\n","rationale_html":"<p>Choice C is correct. Each point <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ced1a64e45813097b535382f249bf54ff204f9e5fa6c7c433d61d47dac6447b2\" alt=\"with coordinates x comma y\"></span> on the graph represents the elevation <span class=\"italic\">x</span>, in meters, and the corresponding measure of plant diversity <span class=\"italic\">y</span> in a region of Switzerland. Therefore, the point on the graph with the greatest <span class=\"italic\">y</span>-coordinate represents the location that has the greatest measure of plant diversity in the region. The greatest <span class=\"italic\">y</span>-coordinate of any point on the graph is approximately 13,500. The <span class=\"italic\">x</span>-coordinate of that point is approximately 1,250. Therefore, the closest elevation at which the plant diversity is the greatest is 1,250 meters.</p><p>Choice A is incorrect. This value is closest to the greatest <span class=\"italic\">y</span>-coordinate of any point on the graph and therefore represents the greatest measure of plant diversity, not the elevation where the greatest measure of plant diversity occurs. Choice B is incorrect. At an elevation of 3,000 meters the measure of plant diversity is approximately 4,000. Because there are points on the graph with greater <span class=\"italic\">y</span>-coordinates, 4,000 can’t be the greatest measure of plant diversity, and 3,000 meters isn’t the elevation at which the greatest measure of plant diversity occurs. Choice D is incorrect. At an elevation of 250 meters, the measure of plant diversity is approximately 11,000. Because there are points on the graph with greater <span class=\"italic\">y</span>-coordinates, 11,000 can’t be the greatest measure of plant diversity and 250 meters isn’t the elevation at which the greatest measure of plant diversity occurs.</p><p>&nbsp;</p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">13,500</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">3,000</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">1,250</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">250</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}}