the value of a collectible coin can be represented by the equation $y = 2x + 9.74$, where $x$ represents the number of years that consuello has owned the coin and $y$ represents the total value, in dollars, of the coin. what was the value of the coin when consuello originally purchased it?

$\bigcirc$ $4.87
$\bigcirc$ $7.74
$\bigcirc$ $9.74
$\bigcirc$ $19.48

Question

the value of a collectible coin can be represented by the equation \$y = 2x + 9.74\$, where \$x\$ represents the number of years that consuello has owned the coin and \$y\$ represents the total value, in dollars, of the coin. what was the value of the coin when consuello originally purchased it?

\$\bigcirc\$ $4.87
\$\bigcirc\$ $7.74
\$\bigcirc\$ $9.74
\$\bigcirc\$ $19.48

$\bigcirc$ $4.87
$\bigcirc$ $7.74
$\bigcirc$ $9.74
$\bigcirc$ $19.48

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": [ "Slope-Intercept Form", "Initial Value of Linear Function" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Initial Value of Linear Function", "Linear Equation Interpretation" ] } ## Identify the given equation and variables Using the *Slope-Intercept Form* knowledge point $$ y = 2x + 9.74 $$ where $x$ is the number of years owned, and $y$ is the total value in dollars. ## Determine the initial value Using the *Initial Value of Linear Function* knowledge point $$ \begin{aligned} &\text{At purchase, } x = 0\ &y = 2(0) + 9.74 = 9.74 \end{aligned} $$ The original value of the coin was $\$9.74$.

(A) $4.87

(B) $7.74

(C) $9.74

(D) $19.48

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

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Question

Explanation:

Identify the given equation and variables

Determine the initial value

Answer: