To determine how much the baseball card's value is increasing per year, we can examine the expression for the value of the baseball card, given by:
\[ V(y) = 0.15y + 0.35 \]
In this equation, the coefficient of \( y \) represents the annual increase in the value of the baseball card. Here, the coefficient is \( 0.15 \).
This means the baseball card's value is increasing by \( 0.15 \) dollars per year.
Thus, the correct answer is:
A. $0.15