Question

A bakery delivers cookies to offices
The bakery charges a 5$ delivery fee
The bakery charges a total of $20.00 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 \( y \) for a delivery of \( x \) cookies, we need to derive the cost structure based on the information given.

1. The delivery fee is a fixed cost of $5.
2. The cost of the cookies needs to be determined.

From the details:
- For 12 cookies, the total charge is $20.00:
\[
y = 5 + \text{cost of 12 cookies}
\]
\[
20 = 5 + \text{cost of 12 cookies} \implies \text{cost of 12 cookies} = 15
\]
\[
\text{Cost per cookie} = \frac{15}{12} = 1.25
\]

- For 18 cookies, the total charge is $27.50:
\[
y = 5 + \text{cost of 18 cookies}
\]
\[
27.50 = 5 + \text{cost of 18 cookies} \implies \text{cost of 18 cookies} = 22.50
\]
\[
\text{Cost per cookie} = \frac{22.50}{18} = 1.25
\]

Now we see that each cookie costs $1.25.

The total cost equation will thus be:
\[
y = 1.25x + 5
\]

Thus, the equation that represents the total charge in dollars \( y \) for a delivery of \( x \) cookies is:

\[
\boxed{y = 1.25x + 5}
\]