for the inverse variation equation $p = \frac{8}{v}$, what is the value of $p$ when $v = \frac{1}{4}$?

* $\frac{1}{32}$
* $\frac{1}{2}$
* 2
* 32

Question

for the inverse variation equation $p = \frac{8}{v}$, what is the value of $p$ when $v = \frac{1}{4}$?

* $\frac{1}{32}$
* $\frac{1}{2}$
* 2
* 32

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [], "current_concepts": [ "Inverse Variation", "Algebraic Simplification" ] } ## Identify the given equation and values $$ P = \frac{8}{V},\quad V = \frac{1}{4} $$ ## Substitute the value of V into the equation $$ P = \frac{8}{\frac{1}{4}} $$ ## Simplify the fraction $$ P = 8 \times 4 = 32 $$

(A) $\frac{1}{32}$

(B) $\frac{1}{2}$

(C) 2

(D) 32

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Inverse Variation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given equation and values

Substitute the value of V into the equation

Simplify the fraction

Answer: