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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Annual Expense Calculation" ], "new_concepts": [], "current_concepts": [ "Annual Expense Calculation", "Personal Budgeting" ] } ## Calculate the annual expense of the in-state college $$ \begin{aligned} \text{Tuition} &= \$7,000\text{ per year} \ \text{Rent} &= \$1,000\text{ per month} \times 12\text{ months} = \$12,000\text{ per year} \ \text{Total} &= \$7,000 + \$12,000 = \$19,000 \end{aligned} $$ ## Calculate the annual expense of the out-of-state college $$ \begin{aligned} \text{Tuition} &= \$15,000\text{ per year} \ \text{Rent} &= \$600\text{ per month} \times 12\text{ months} = \$7,200\text{ per year} \ \text{Total} &= \$15,000 + \$7,200 = \$22,200 \end{aligned} $$ ## Compare the annual expenses $$ \begin{aligned} \$19,000 &< \$22,200 \ \text{Less expensive choice} &= \text{in-state} \end{aligned} $$ The yearly expense of the in-state college is $19,000 and the yearly expense of the out-of-state college is $22,200. Then, on an annual basis, the less expensive choice is the in-state college. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Annual Expense Calculation" ] }

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Calculate the annual expense of the in-state college

Calculate the annual expense of the out-of-state college

Compare the annual expenses

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