First, we need to find the price per cookie before the sale and then determine the new price during the sale.
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The baker charges $2.00 for 4 cookies, so the price per cookie before the sale is: \[ \text{Price per cookie} = \frac{2.00}{4} = 0.50 \]
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During the sale, the price of each cookie is $0.10 less, so the new price per cookie is: \[ 0.50 - 0.10 = 0.40 \]
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Now, we can express the relationship between the cost of the cookies \(y\) and the number of cookies \(x\) during the sale: \[ y = 0.40x \]
Therefore, the correct equation to represent the relationship during the sale is: \[ y = 0.40x \]