Question

A bakery delivers cookies to offices.

*The bakery charges a $5 delivery fee.
*The bakery charges a total of $20 for delivering 12 cookies
*The bakery charges a total of $27.50 for delivering 18 cookies
Which equation represents the total charge in dollars, y, for a delivery of x cookies?


y = 1.25x + 5

y = 5x + 1.25

y = 1.25x + 6

y = 5x + 7.50

Answer 1

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.

1. The bakery charges a $5 delivery fee.
2. 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:
\[
\boxed{y = 1.25x + 5}
\]