To determine the cost per cookie during the sale, we start with the original cost per cookie. The baker sells 4 cookies for $2.00, so the cost per cookie is:
\[ \frac{2.00}{4} = 0.50 \]
During the sale, each cookie costs $0.10 less, so the sale price per cookie is:
\[ 0.50 - 0.10 = 0.40 \]
Thus, the equation representing the relationship between the cost of the cookies \( y \) and the number of cookies bought \( x \) during the sale is:
\[ y = 0.40x \]
So, the correct response is:
y = 0.40x