Question

A baker 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 delivery of x cookies?

answers:

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 the delivery of \( x \) cookies, we can start by analyzing the given information.

### Given Data:
1. For 12 cookies, the total charge is $20.00.
2. For 18 cookies, the total charge is $27.50.
3. There is a $5 delivery fee.

### Setting Up the Equations:
Let \( c \) be the cost per cookie.

The total charge can be expressed as:
\[
y = cx + 5
\]

### From the first data point:
- For 12 cookies:
\[
20 = 12c + 5
\]
Subtracting 5 from both sides:
\[
15 = 12c
\]
Dividing by 12:
\[
c = 1.25
\]

### From the second data point:
- For 18 cookies:
\[
27.50 = 18c + 5
\]
Subtracting 5 from both sides:
\[
22.50 = 18c
\]
Dividing by 18:
\[
c = 1.25
\]

### Conclusion:
We have confirmed that the cost per cookie \( c \) is indeed $1.25.

### Final Equation:
Now, substituting the value of \( c \) back into the total charge equation:
\[
y = 1.25x + 5
\]

Thus, the equation that represents the total charge in dollars \( y \) for the delivery of \( x \) cookies is:
\[
\boxed{y = 1.25x + 5}
\]