theo budgets $156 for karate classes. he buys a karate uniform, called a dogi, for $12. if it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that theo can take?

$17 \le c$
$18 \ge c$
$17 \ge c$
$18 \le c$

Question

theo budgets $156 for karate classes. he buys a karate uniform, called a dogi, for $12. if it costs $8 to attend each karate class, which inequality below represents the number of classes, c, that theo can take?

\$17 \le c\$
\$18 \ge c\$
\$17 \ge c\$
\$18 \le c\$

$17 \le c$
$18 \ge c$
$17 \ge c$
$18 \le c$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Real-world Applications" ], "new_concepts": [ "Linear Inequalities", "Writing Inequalities" ], "current_concepts": [ "Linear Equations", "Real-world Applications", "Linear Inequalities", "Writing Inequalities" ] } ## Set up the inequality representing the budget constraint $$ 8c + 12 \le 156 $$ ## Solve the inequality for c $$ \begin{aligned} 8c &\le 156 - 12 \ 8c &\le 144 \ c &\le 18 \end{aligned} $$ ## Rewrite the inequality to match the options $$ 18 \ge c $$

(A) $17 \le c$

(B) $18 \ge c$

(C) $17 \ge c$

(D) $18 \le c$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the inequality representing the budget constraint

Solve the inequality for c

Rewrite the inequality to match the options

Answer:

Set up the inequality representing the budget constraint

Solve the inequality for c

Rewrite the inequality to match the options