{"id":"cb_question_bank:9b69ae96-f8ed-46d3-b09a-b1562763da88","source_id":"cb_question_bank","source_item_id":"9b69ae96-f8ed-46d3-b09a-b1562763da88","external_id":null,"ibn":"070898-DC","question_id":"868fc236","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The figure presents a 3-column table, with 3 rows of data, titled “Energy per Gram of Typical Macronutrients.” The heading for column 1 is “Macronutrient,” the heading for column 2 is “Food calories,” and the heading for column 3 is “Kilojoules.” The 3 rows of data are as follows. Row 1.Macronutrient, Protein; Food calories, 4 point zero; Kilojoules, 16 point 7. Row 2. Macronutrient, Fat; Food calories, 9 point zero; Kilojoules, 37 point 7. Row 3. Macronutrient, Carbohydrate; Food calories, 4 point zero; Kilojoules, 16 point 7. The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If x food calories is equivalent to k kilojoules, of the following, which best represents the relationship between x and k ?","stimulus":"","stimulus_html":null,"stem_html":"<p><img src=\"/api/assets/68b177eaef9d5f59abf54b4537e781ba458dc305c7d202a8cd30ae8b79291001\" alt=\"The figure presents a 3-column table, with 3 rows of data, titled “Energy per Gram of Typical Macronutrients.” The heading for column 1 is “Macronutrient,” the heading for column 2 is “Food calories,” and the heading for column 3 is “Kilojoules.” The 3 rows of data are as follows. Row 1.Macronutrient, Protein; Food calories, 4 point zero; Kilojoules, 16 point 7. Row 2. Macronutrient, Fat; Food calories, 9 point zero; Kilojoules, 37 point 7. Row 3. Macronutrient, Carbohydrate; Food calories, 4 point zero; Kilojoules, 16 point 7.\" width=\"191\" height=\"103\"></p><p class=\"stem_paragraph \">The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If <span class=\"italic\">x</span> food calories is equivalent to <span class=\"italic\">k</span>&nbsp;kilojoules, of the following, which best represents the relationship between <span class=\"italic\">x</span> and <span class=\"italic\">k</span> ?</p><p></p>\n","rationale_html":"<p>Choice B is correct. The relationship between <span class=\"italic\">x</span> food calories and <span class=\"italic\">k</span> kilojoules can be modeled as a proportional relationship. Let <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/de783c52afbf94f087741d86491978a40d5eac077396e5778a33c377a8154e75\" alt=\"the ordered pair x sub 1 comma k sub 1\"></span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6630679c9796b48cfc5d3962bdde6535231280027a27006fefa899d64975609f\" alt=\"the ordered pair x sub 2 comma k sub 2\"></span> represent the values in the first two rows in the table: <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c1bef98c04a609cc062329a63fcfc5ab9480dfcdaf945211d5c7e7df9d523a48\" alt=\"the ordered pair 4 point 0 comma 16 point 7\"></span> and <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/480dd6a04988506bbc29d91a41f74b35b4d7d79a8d658b5d13c850c784692260\" alt=\"the ordered pair 9 point 0 comma 37 point 7\"></span>. The rate of change, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b1b75750068e218b3762bd9e89f9c8fe0475f20a0fa57026539be49230d26cf1\" alt=\"the fraction with numerator, k sub 2 minus k sub 1, and denominator x sub 2 minus x sub 1, end fraction\"></span>, is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5d14e43bef91d135e7c05d0fee8fd969ff0d9698580362868d103a7f7b3b84d6\" alt=\"21 over 5 equals 4 point 2\"></span>; therefore, the equation that best represents the relationship between <span class=\"italic\">x</span> and <span class=\"italic\">k</span> is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a195c8f7822741c7d02e963ff590f5d203922a3ef114142b5b25ecd30c3612ba\" alt=\"k equals 4 point 2 x\"></span>.</p><p>Choice A is incorrect and may be the result of calculating the rate of change using <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a862c58ace5d50d33dd9feb91b06d3ac9e8de8eb3d79716078da1aeb21b5d9df\" alt=\"the fraction with numerator, x sub 2 minus x sub 1, and denominator k sub 2 minus k sub 1, end fraction\"></span>. Choice C is incorrect because the number of kilojoules is greater than the number of food calories. Choice D is incorrect and may be the result of an error when setting up the equation.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.632000+00:00","source_updated_at":"2023-08-02T20:25:59.632000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n              <span class=\"math_expression \">\n                <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/37ad04a82559e25b29c320d54f87ff8ef0d29ed295dd644fb430b419bfc08d78\" alt=\"k equals zero point 2 4 x\"></span></span>\n            </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n              <span class=\"math_expression \">\n                <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7c9b473699a9899d3b97444579188dcb73b41c65b7e0c2afadd820ecb9fd3c77\" alt=\"k equals 4 point 2 x\"></span></span>\n            </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n              <span class=\"math_expression \">\n                <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/98381d23266337989649ac5ac4186dbb7f1d8940797a61bf595ea311fd387feb\" alt=\"x equals 4 point 2 k\"></span></span>\n            </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n              <span class=\"math_expression \">\n                <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/f063772cd772407e2f0fe02e1645e263ba3f274dcbd099ba4e5455268bc7bc07\" alt=\"x k equals 4 point 2\"></span></span>\n            </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}}