a phone plan has a limit of \$25 that can be spent on text messages. the base cost of the text plan will cost a user \$5. each text will cost \$0.05. how many text messages ($t$) can a user send without exceeding the plan limits?

$t \le 600$
$t \le 400$
$t

Question

a phone plan has a limit of \$25 that can be spent on text messages. the base cost of the text plan will cost a user \$5. each text will cost \$0.05. how many text messages ($t$) can a user send without exceeding the plan limits?

$t \le 600$
$t \le 400$
$t < 600$
$t < 400$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Writing Linear Inequalities", "Solving Linear Inequalities" ], "new_concepts": [], "current_concepts": [ "Writing Linear Inequalities", "Solving Linear Inequalities", "Real-world Inequality Constraints" ] } ## Set up the inequality Using the **Writing Linear Inequalities** knowledge point $$ 5 + 0.05t \le 25 $$ ## Solve for t Using the **Solving Linear Inequalities** knowledge point $$ \begin{aligned} 0.05t &\le 20 \ t &\le 400 \end{aligned} $$

(A) $t \le 600$

(B) $t \le 400$

(C) $t < 600$

(D) $t < 400$

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

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