the ratios are directly proportional. find the missing variable.
if $x_1 = 480$, $y_1 = 240$, and $x_2 = 352$, determine the value of $y_2$?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Proportional Reasoning", "Direct Proportion Equations" ], "new_concepts": [], "current_concepts": [ "Proportional Reasoning", "Direct Proportion Equations" ] } ## Set up the direct proportion equation $$ \frac{y_1}{x_1} = \frac{y_2}{x_2} $$ ## Substitute the given values $$ \frac{240}{480} = \frac{y_2}{352} $$ ## Solve for the missing variable $$ \begin{aligned} \frac{1}{2} &= \frac{y_2}{352} \ y_2 &= \frac{352}{2} \ y_2 &= 176 \end{aligned} $$ The ratios are directly proportional. Find the missing variable. If $x_1 = 480$, $y_1 = 240$, and $x_2 = 352$, determine the value of $y_2$? 176 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Direct Proportion Equations" ] }

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Question

Explanation:

Set up the direct proportion equation

Substitute the given values

Solve for the missing variable

Answer: