Question
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=0.40x
y equals 0.40x
y=0.60x
y equals 0.60x
y=0.50x−0.10
y equals 0.50 x minus 0.10
y=0.50x
, and the number of cookies bought, x
, during the sale.(1 point)
Responses
y=0.40x
y equals 0.40x
y=0.60x
y equals 0.60x
y=0.50x−0.10
y equals 0.50 x minus 0.10
y=0.50x
Answers
GPT-4o mini
To find the correct equation representing the relationship between the cost of the cookies, \( y \), and the number of cookies bought, \( x \), during the sale, we first determine the price per cookie during the sale.
The original price for 4 cookies is $2.00, which means the price per cookie is:
\[
\text{Original price per cookie} = \frac{2.00}{4} = 0.50
\]
During the sale, each cookie is $0.10 less:
\[
\text{Sale price per cookie} = 0.50 - 0.10 = 0.40
\]
Now we can write the equation for the total cost \( y \) based on the number of cookies \( x \):
\[
y = 0.40x
\]
Therefore, the correct response is:
**y = 0.40x**
The original price for 4 cookies is $2.00, which means the price per cookie is:
\[
\text{Original price per cookie} = \frac{2.00}{4} = 0.50
\]
During the sale, each cookie is $0.10 less:
\[
\text{Sale price per cookie} = 0.50 - 0.10 = 0.40
\]
Now we can write the equation for the total cost \( y \) based on the number of cookies \( x \):
\[
y = 0.40x
\]
Therefore, the correct response is:
**y = 0.40x**