Canonical URI: https://w3id.org/kmath/textbook_solution/chunjae_hong_solution_p152_p097_creative_coding_01
| rdf:type | math:TextbookSolution |
|---|---|
| rdfs:label | 천재홍 p097 창의·코딩 역량 키우기 1 풀이 |
| rdfs:comment | 천재홍 공통수학1 정답 및 풀이 p152의 p097 창의·코딩 역량 키우기 1 풀이. |
| math:answerText | ① \(1200-10x\) ② \(80+3x\) ③ \(y=(1200-10x)(80+3x)\) ④ \(x=\frac{140}{3}\) ⑤ \(x=47\) ⑥ \(730\)원 |
| math:explanationText | ① \(1200-10x\). ② \(80+3x\). ③ \(y=(1200-10x)(80+3x)\). ④ \(y=-30x^2+2800x+96000 =-30\left(x-\frac{140}{3}\right)^2+\frac{484000}{3}\). \(x>0,\ 1200-10x>0\)에서 \(0<x<120\). 따라서 \(y\)의 값은 \(x=\frac{140}{3}\)일 때 최대이다. ⑤ \(x=\frac{140}{3}=46.66\cdots\)이고 \(x\)는 자연수이므로 \(x=47\). ⑥ \(1200-10\times47=730\) (원). |
| math:hasFigure | problem_figure:chunjae_hong_p097_sales_algorithm_form |
| math:hasFigure | problem_figure:chunjae_hong_p097_sales_spreadsheet_table |
| math:mappingConfidence | 1.0 |
| math:pageStart | 152 |
| math:problem | textbook_problem:chunjae_hong_vision_p097_creative_coding_01 |
| math:reviewStatus | reviewed |
| math:solutionKind | worked_solution |
| math:usesSolutionPattern | solution_pattern:complete_square |