A baker is selling sugar cookies in his shop. He charges $2.00 for 4 cookies. He has a sale over the weekend and charges $0.10 less for each cookie. Write an equation to represent the relationship between the cost of the cookies, y , and the number of cookies bought, x , during the sale.(1 point) Responses y=0.50x−0.10 y is equal to 0 point 5 0 x minus 0 point 1 0 - no response given y=0.40x y is equal to 0 point 4 0 x - no response given y=0.60x y is equal to 0 point 6 0 x - incorrect y=0.50x

Answer 1

To find the equation representing the relationship between the cost of the cookies (y) and the number of cookies bought (x) during the sale, we can follow these steps:

1. The regular price per cookie is $2.00 for 4 cookies, which is:
   \[ \text{Price per cookie} = \frac{2.00}{4} = 0.50 \text{ dollars} \]

2. During the sale, the baker charges $0.10 less per cookie. So the price per cookie during the sale is:
   \[ 0.50 - 0.10 = 0.40 \text{ dollars} \]

3. Now, to write the equation, if \(x\) represents the number of cookies and \(y\) represents the total cost, we use the equation:
   \[ y = (\text{price per cookie}) \cdot x \]

4. Substituting the sale price into the equation:
   \[ y = 0.40x \]

Therefore, the equation that represents the relationship between the cost of the cookies (y) and the number of cookies bought (x) during the sale is:
\[ y = 0.40x \]