Question

a bakery delivers cookies to offices
$5 delivery fee
total of $20 charge for delivering 12 cookies
total of $27.50 for delivering 18 cookies
what equation represents the total charge in dollars (y), delivery fee (x)

Answer 1

To determine the equation that represents the total charge in dollars \(y\) as a function of the number of cookies delivered \(x\), we can analyze the information provided.

1. **Delivery fee:** There is a flat delivery fee of $5, which means that this fee will be included in the total charge.

2. **Cost per cookie:** We can find the cost per cookie using the given data points.

From the information provided:
- **For 12 cookies:** The total charge is $20. The delivery fee is $5, so the cost of the cookies is:
\[
20 - 5 = 15
\]
Since there are 12 cookies, the cost per cookie is:
\[
\frac{15}{12} = 1.25 \text{ dollars per cookie}
\]

- **For 18 cookies:** The total charge is $27.50. Again, subtracting the delivery fee gives us:
\[
27.50 - 5 = 22.50
\]
The cost per cookie is:
\[
\frac{22.50}{18} = 1.25 \text{ dollars per cookie}
\]

Thus, we have determined that the cost per cookie is \(1.25\).

3. **Creating the equation:**
The total charge \(y\) can be expressed as the sum of the delivery fee and the cost of the cookies. If \(x\) is the number of cookies delivered, the equation is:
\[
y = 5 + 1.25x
\]

In summary, the equation that represents the total charge in dollars \(y\) for \(x\) cookies delivered is:
\[
y = 5 + 1.25x
\]