A baker is selling sugar cookies in his shop he charges $2 for four 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 cookies why and the number of cookies bought X during the sale a y equals 0.50 x- 0.10 b y = 0.50x c y equals 0.40x d y equals 0.60 x

1 answer

To determine the equation that represents the relationship between the cost of cookies (y) and the number of cookies bought (x) during the sale, we need to first find the new price per cookie after the $0.10 discount.

Initially, the baker sells 4 cookies for $2. Therefore, the price per cookie is:

\[ \text{Price per cookie} = \frac{2}{4} = 0.50 \text{ dollars} \]

During the sale, he is charging $0.10 less per cookie:

\[ \text{Sale price per cookie} = 0.50 - 0.10 = 0.40 \text{ dollars} \]

Now, if x represents the number of cookies purchased, the total cost (y) can be expressed as:

\[ y = \text{(price per cookie)} \times x = 0.40x \]

Thus, the equation that represents the cost (y) based on the number of cookies (x) bought during the sale is:

\[ \boxed{y = 0.40x} \]

So, the correct choice is (c) \(y = 0.40x\).