trina downloaded 3 music albums and 5 audio books one week at a cost of $49.60. the next week she downloaded 1 music album and 2 audio books at a cost of $20.50. her mother wants to write a system of equations to determine the price of one music album and one audio book. she uses the variables $x$ and $y$. she lets $x$ represent the cost of one music album. what will $y$ represent?

$y = \text{cost of 1 music album}$
$y = \text{cost of 1 audio book}$
$y = \text{cost of 3 music albums}$
$y = \text{cost of 5 audio books}$

Question

trina downloaded 3 music albums and 5 audio books one week at a cost of $49.60. the next week she downloaded 1 music album and 2 audio books at a cost of $20.50. her mother wants to write a system of equations to determine the price of one music album and one audio book. she uses the variables \$x\$ and \$y\$. she lets \$x\$ represent the cost of one music album. what will \$y\$ represent?

\$y = \text{cost of 1 music album}\$
\$y = \text{cost of 1 audio book}\$
\$y = \text{cost of 3 music albums}\$
\$y = \text{cost of 5 audio books}\$

$y = \text{cost of 1 music album}$
$y = \text{cost of 1 audio book}$
$y = \text{cost of 3 music albums}$
$y = \text{cost of 5 audio books}$

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": [ "Variable Identification", "System of Equations Translation" ], "new_concepts": [], "current_concepts": [ "Variable Identification", "System of Equations Translation" ] } ## Identify the goal and given variables Using the *Variable Identification* knowledge point $$ \begin{aligned} &\text{Goal: Determine what the variable } y \text{ represents.}\ &\text{Given: } x \text{ represents the cost of one music album.} \end{aligned} $$ ## Translate the context to find the second variable Using the *System of Equations Translation* knowledge point $$ \begin{aligned} &\text{Context: Determine the price of one music album and one audio book.}\ &\text{Since } x \text{ is the cost of one music album, } y \text{ must represent the cost of one audio book.} \end{aligned} $$

$y = \text{cost of 1 music album}$

$y = \text{cost of 1 audio book}$

$y = \text{cost of 3 music albums}$

$y = \text{cost of 5 audio books}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Variable Identification" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the goal and given variables

Translate the context to find the second variable

Answer: