{"id":"cb_question_bank:e943ee07-f7ec-4591-936a-1dab00a6df28","source_id":"cb_question_bank","source_item_id":"e943ee07-f7ec-4591-936a-1dab00a6df28","external_id":null,"ibn":"029367-DC","question_id":"1ecaa9c0","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.B.","skill":"Linear functions","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was driven 38 miles, what was the total amount Robert was charged?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was driven 38&nbsp;miles, what was the total amount Robert was charged?</p>\n","rationale_html":"<p>Choice A is correct. It’s given that Robert was charged an initial fee of $20.00 to rent the truck plus an additional $0.70 per mile driven. Let <span class=\"italic\">m</span> represent the number of miles the truck was driven. Since the rental charge is $0.70 per mile driven, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/3743083ea29bf5f948d165b61b4191ca63b37059fa9f987a42e8d67ff4b3e523\" alt=\"0 point 7 0 m \"></span> represents the amount Robert was charged for <span class=\"italic\">m</span> miles driven. Let <span class=\"italic\">c</span> equal the total amount, in dollars, Robert was charged to rent the truck. The total amount can be represented by the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/54531bee0e71863dd4ea1c92c97fbed779117464567e1f075463dd1fafec1604\" alt=\"c equals, 20 point 0 0 plus 0 point 7 0 m\"></span>. It’s given that the truck was driven 38 miles, thus <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a4611dd8a55ebc27bf835866aeb50cf8617add1f507d8a6e7748a87f67bfacd0\" alt=\"m equals 38\"></span>. Substituting 38 into the equation gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dfdcda4561179143501fe56bbfaac7c8ec6d3badbccf6ad1b4ada1b3ed8f0186\" alt=\"c equals, 20 point 0 0 plus 0 point 7 0, times 38\"></span>. Multiplying <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0b75b410dfd11326a858b8e8c3525e8982cb52ce10962b57b6e7a2901e78bc32\" alt=\"0 point 7 0 times 38 \"></span> gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/06b7429534339c298f68e3c1fc42f44703d78d8ce824c4ba60b7cc7921076ac3\" alt=\"c equals, 20 point 0 0 plus 26 point 6 0\"></span>. Adding these values gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/238039c31653c7a8a08dfb86a661300fd290dd655753170984c21413d6e2bf7a\" alt=\"c equals 46 point 6 0\"></span>, so the total amount Robert was charged is $46.60.</p><p>Choices B, C, and D are incorrect and may result from setting up the equation incorrectly or from making calculation errors.</p><p>&nbsp;</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.625000+00:00","source_updated_at":"2023-08-02T20:25:59.625000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">$46.60</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">$52.90</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">$66.90</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">$86.50</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}}