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

Explanation:

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

$$
LATEXBLOCK0
$$

The original value of the coin was \(\$9.74\).

Answer:

• (A) $4.87
• (B) $7.74
• (C) $9.74 (Correct answer)
• (D) $19.48