Answer:
The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C
Explanation:
The form of the linear equation is;
y = m x + b, where
- m is the slope of the line (The rate)
- b is the y-intercept (initial amount, value y at x = 0)
∵ The value of a collectible coin can be represented by the equation
y = 2 x + 9.74
→ Compare it with the form of the linear equation above
∴ m = 2
∴ b = 9.74
∵ x represents the number of years that Consuelo has owned the coin
∵ y represents the total value, in dollars, of the coin
→ That means the value of y at x = 0 is the value of the coin when
Consuelo originally purchased it
∵ b represents the value of y at x = 0
∵ b = 9.74
∴ The value of the coin when Consuelo originally purchased it is $9.74