an object is dropped from a small plane. as the object falls, its distance, d, above the ground after t seconds, is given by the formula \$d = -16t^2 + 1,000\$. which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?

\$-16t^2 + 1,000 < 300\$
\$-16t^2 + 1,000 \le 300\$
\$-16t^2 + 1,000 \ge 300\$
\$-16t^2 + 1,000 > 300\$

Question

an object is dropped from a small plane. as the object falls, its distance, d, above the ground after t seconds, is given by the formula \$d = -16t^2 + 1,000\$. which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?

\$-16t^2 + 1,000 < 300\$
\$-16t^2 + 1,000 \le 300\$
\$-16t^2 + 1,000 \ge 300\$
\$-16t^2 + 1,000 > 300\$

$-16t^2 + 1,000 < 300$
$-16t^2 + 1,000 \le 300$
$-16t^2 + 1,000 \ge 300$
$-16t^2 + 1,000 > 300$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Translating Inequalities" ], "new_concepts": [], "current_concepts": [ "Translating Inequalities", "Quadratic Inequalities" ] } ## Identify the given formula and target condition $$ \begin{aligned} d &= -16t^2 + 1,000 \ d &> 300 \end{aligned} $$ ## Substitute the formula into the inequality $$ -16t^2 + 1,000 > 300 $$

(A) $-16t^2 + 1,000 < 300$

(B) $-16t^2 + 1,000 \le 300$

(C) $-16t^2 + 1,000 \ge 300$

(D) $-16t^2 + 1,000 > 300$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given formula and target condition

Substitute the formula into the inequality

Answer: