{"id":"cb_question_bank:cd39aff1-659d-4bb9-8f9d-129364996dff","source_id":"cb_question_bank","source_item_id":"cd39aff1-659d-4bb9-8f9d-129364996dff","external_id":null,"ibn":"070613-DC","question_id":"cb58833c","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"H","score_band":6,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The line with the equation four fifths x, plus one third y, equals 1 is graphed in the xy ‑plane. What is the x -coordinate of the x ‑intercept of the line?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The line with the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ef830b720453b1ffce3b55dc20cc55fef6b6ec9ca604bd7e69abb725361f5d66\" alt=\"four fifths x, plus one third y, equals 1\"></span> is graphed in the <span class=\"italic\"><span class=\"italic \">xy</span></span>‑plane. What is the <span class=\"italic\"><span class=\"italic \">x</span></span>-coordinate of the <span class=\"italic\"><span class=\"italic \">x</span></span>‑intercept of the line?</p>\n","rationale_html":"<p>The correct answer is 1.25. The <span class=\"italic\">y</span>-coordinate of the <span class=\"italic\">x</span>-intercept is 0, so 0 can be substituted for <span class=\"italic\">y</span>, giving <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/be5c0396bc345c899f3f724e013cf161f81d59837f3fa2f3abbb186b8772b946\" alt=\"four fifths x, plus one third times 0, equals 1\"></span>. This simplifies to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dc23a545b00fc81a861f0fcf54f3c0a0124e41c5746911e067ffc52c4c2eef06\" alt=\"four fifths x, equals 1\"></span>. Multiplying both sides of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dc23a545b00fc81a861f0fcf54f3c0a0124e41c5746911e067ffc52c4c2eef06\" alt=\"four fifths x, equals 1\"></span> by 5 gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/10e034f067474ed972a59d8074293974286371b5943fd4c1849e9399fdc35d97\" alt=\"4 x equals 5\"></span>. Dividing both sides of <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/10e034f067474ed972a59d8074293974286371b5943fd4c1849e9399fdc35d97\" alt=\"4 x equals 5\"></span> by 4 gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1e36f30b57434b8f54af490b85ac8099d4a05a937b87a242ef0f56effa2bf2ec\" alt=\"x equals five fourths\"></span>, which is equivalent to 1.25. Note that 1.25 and 5/4 are examples of ways to enter a correct answer.</p>\n","correct_answer":["1.25"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.631000+00:00","source_updated_at":"2023-08-02T20:25:59.631000+00:00","options":[],"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}}