{"id":"cb_practice_pdf:t10-math-m2-q9","source_id":"cb_practice_pdf","source_item_id":"t10-math-m2-q9","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-10","module_number":2,"position":9,"stem":"= 8x+4 f(x) The function f gives the estimated height, in feet, of a willow tree x years after its height was first measured. Which statement is the best interpretation of 4 in this context?","stimulus":"","stimulus_html":null,"stem_html":"<p>= 8x+4 f(x) The function f gives the estimated height, in feet, of a willow tree x years after its height was first measured. Which statement is the best interpretation of 4 in this context?</p>","rationale_html":"<p>=8 +4 Choice D is correct. It’s given that the function f^xh x gives the estimated height, in feet, of a willow tree x years after its height was first measured. For a = + function defined by an equation of the form f^xh mx b, where m and b are = constants, b represents the value of f^xh when x 0. It follows that in the given = function, 4 represents the value of f^xh when x 0. Therefore, the best interpretation of 4 in this context is that the estimated height of the tree was 4 feet when it was first measured. Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>The tree will be measured each year for 4 years.</p>","ord":0},{"label":"B","content_html":"<p>The tree is estimated to grow to a maximum height of 4 feet.</p>","ord":1},{"label":"C","content_html":"<p>The estimated height of the tree increased by 4 feet each year.</p>","ord":2},{"label":"D","content_html":"<p>The estimated height of the tree was 4 feet when it was first measured.</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}}