To find the equation that represents the total charge in dollars \( y \) for a delivery of \( x \) cookies, we need to analyze the information provided and determine the costs involved.
- The bakery charges a $5 delivery fee.
- The price for cookies must be calculated based on the total provided for different quantities.
From the two given data points:
-
For 12 cookies, the total cost is $20. \[ 20 = \text{cost of cookies} + 5 \] Thus, the cost of cookies is: \[ \text{cost of cookies} = 20 - 5 = 15 \] The cost per cookie is: \[ \text{cost per cookie} = \frac{15}{12} = 1.25 \]
-
For 18 cookies, the total cost is $27.50. \[ 27.50 = \text{cost of cookies} + 5 \] Thus, the cost of cookies is: \[ \text{cost of cookies} = 27.50 - 5 = 22.50 \] The cost per cookie is: \[ \text{cost per cookie} = \frac{22.50}{18} = 1.25 \]
Now that we have determined that the cost per cookie is $1.25, we can formulate the total charge in terms of \( x \) cookies:
\[ y = 1.25x + 5 \]
Thus, the correct equation that represents the total charge in dollars \( y \) for a delivery of \( x \) cookies is: \[ \boxed{y = 1.25x + 5} \]
5 answers