the price of a particular stock is represented by the linear equation $y = -0.91x + 103.47$, where $x$ represents the number of weeks the stock has been owned and $y$ represents the price of the stock, in dollars. if this relationship continues, what is the price of the stock after it has been owned for 12 weeks?

$\bigcirc$ $92.55
$\bigcirc$ $94.37
$\bigcirc$ $100.52
$\bigcirc$ $114.39

Question

the price of a particular stock is represented by the linear equation \$y = -0.91x + 103.47\$, where \$x\$ represents the number of weeks the stock has been owned and \$y\$ represents the price of the stock, in dollars. if this relationship continues, what is the price of the stock after it has been owned for 12 weeks?

\$\bigcirc\$ $92.55
\$\bigcirc\$ $94.37
\$\bigcirc\$ $100.52
\$\bigcirc\$ $114.39

$\bigcirc$ $92.55
$\bigcirc$ $94.37
$\bigcirc$ $100.52
$\bigcirc$ $114.39

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", "Linear Equation Interpretation" ], "new_concepts": [], "current_concepts": [ "Variable Identification", "Linear Equation Interpretation" ] } ## Identify the variables Using the *Variable Identification* knowledge point $$ \begin{aligned} &x = \text{number of weeks owned} = 12\ &y = \text{price of the stock in dollars} \end{aligned} $$ ## Substitute and calculate Using the *Linear Equation Interpretation* knowledge point $$ \begin{aligned} y &= -0.91x + 103.47\ y &= -0.91(12) + 103.47\ y &= -10.92 + 103.47\ y &= 92.55 \end{aligned} $$

(A) $92.55

(B) $94.37

(C) $100.52

(D) $114.39

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equation Interpretation" ] }

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Explanation:

Identify the variables

Substitute and calculate

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