{"id":"cb_practice_pdf:t7-math-m1-q8","source_id":"cb_practice_pdf","source_item_id":"t7-math-m1-q8","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-7","module_number":1,"position":8,"stem":"y 35 0 30 0 25 0 ' 0 Value (dollars) 20 ~ i-.._I',, 15 0 10 0,-... 0 5 X 0 4 8 12 16 20 24 Number of months after purchase The graph shown gives the estimated value, in dollars, of a tablet as a function of the number of months since it was purchased. What is the best interpretation of the y-intercept of the graph in this context?","stimulus":"","stimulus_html":null,"stem_html":"<p>y 35 0 30 0 25 0 &#x27; 0 Value (dollars) 20 ~ i-.._I&#x27;,, 15 0 10 0,-... 0 5 X 0 4 8 12 16 20 24 Number of months after purchase The graph shown gives the estimated value, in dollars, of a tablet as a function of the number of months since it was purchased. What is the best interpretation of the y-intercept of the graph in this context?</p>","rationale_html":"<p>Choice A is correct. It’s given that the graph shown gives the estimated value y, in dollars, of a tablet as a function of the number of months since it was purchased, x. The y-intercept of a graph is the point at which the graph intersects the y-axis, or when x is 0. The graph shown intersects the y-axis at the point 0,225 ^ h. It follows that 0 months after the tablet was purchased, or when the 225 tablet was purchased, the estimated value of the tablet was dollars. Therefore, the best interpretation of the y-intercept is that the estimated value of $225 the tablet was when it was purchased. 24 Choice B is incorrect. The estimated value of the tablet months after it was $50 $225 purchased was , not . Choice C is incorrect. The estimated value of the $225-$50 $175 $225 24 tablet had decreased by , or , not , in the months after it was purchased. Choice D is incorrect and may result from conceptual errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>The estimated value of the tablet was $225 when it was purchased.</p>","ord":0},{"label":"B","content_html":"<p>The estimated value of the tablet 24 months after it was purchased was $225.</p>","ord":1},{"label":"C","content_html":"<p>The estimated value of the tablet had decreased by $225 in the 24 months after it was purchased.</p>","ord":2},{"label":"D","content_html":"<p>The estimated value of the tablet decreased by approximately 2.25% each year after it was purchased.</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}