A bakery delivers cookies to offices.

To express the total cost of cookie delivery in slope-intercept form, we first need to establish the relationship between the number of cookies delivered and the total cost.

Step 1: Identify the Variables

Let:

• \( x \) = number of cookies
• \( y \) = total cost

Step 2: Determine the Costs

From the information provided:

1. The total cost for delivering 12 cookies is $20: \[ y = 20 \quad \text{when} \quad x = 12 \]

2. The total cost for delivering 18 cookies is $27.50: \[ y = 27.50 \quad \text{when} \quad x = 18 \]

Step 3: Set Up the Equations

We can calculate the cost per cookie and write the cost function. The total cost \( y \) can be represented in the form of a linear equation:

\[ y = mx + b \]

where \( m \) is the slope (cost per cookie) and \( b \) is the y-intercept (fixed costs such as the delivery fee).

Step 4: Calculate the Slope (Cost per Cookie)

Using the two points \((12, 20)\) and \((18, 27.50)\), we can calculate the slope \( m \):

\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{27.50 - 20}{18 - 12} = \frac{7.50}{6} = 1.25 \]

So, the cost per cookie (slope) is $1.25.

Step 5: Determine the Y-intercept (Fixed Costs)

We know there is a $5 delivery fee. Thus, the y-intercept, \( b \), is $5.

Step 6: Write the Equation

Now we can plug in the values for \( m \) and \( b \) into the linear equation format:

\[ y = 1.25x + 5 \]

Final Form

The total cost \( y \) in terms of the number of cookies \( x \) is:

\[ y = 1.25x + 5 \]

This is your equation in slope-intercept form.

*The bakery charges a $5 delivery fee.

*The bakery charges a total of $20 for delivering 12 cookies
write it as an equation in slope intercept

To formulate the total cost of delivering cookies at the bakery in slope-intercept form, we'll use the details provided.

Step 1: Identify Variables

Let:

• \( x \) = number of cookies delivered
• \( y \) = total cost in dollars

Step 2: Establish the Equation Structure

The slope-intercept form of a linear equation is given by:

\[ y = mx + b \]

where:

• \( m \) is the slope (the cost per cookie)
• \( b \) is the y-intercept (the fixed fees, such as the delivery fee)

Step 3: Consider the Delivery Fee

Given that there is a fixed delivery fee of $5, we know:

\[ b = 5 \]

Step 4: Find the Cost per Cookie

From the information you provided, we know:

• The total cost for 12 cookies is $20.

Using this information, we can establish a point: \((x_1, y_1) = (12, 20)\).

Step 5: Plug in Values

Using the total cost, we can find the cost contributed by the cookies:

1. Total cost for cookies: The total cost \( y = 20 \) is made up of the delivery fee and the cost of cookies: \[ y = \text{Cost of Cookies} + \text{Delivery Fee} \] So, \[ 20 = \text{Cost of Cookies} + 5 \] Therefore: \[ \text{Cost of Cookies} = 20 - 5 = 15 \]

2. Cost per cookie: Since the bakery delivered 12 cookies, the cost per cookie \( m \) is: \[ m = \frac{15}{12} = 1.25 \]

Step 6: Write the Equation

Now substitute the values of \( m \) and \( b \) into the slope-intercept form:

\[ y = 1.25x + 5 \]

Final Result

The equation that models the total cost \( y \) in terms of \( x \) (the number of cookies) is:

\[ y = 1.25x + 5 \]

what is the description i gave in ordered pair form

To express the description you provided in ordered pair form, we need to convert the given information (total cost for specific quantities of cookies) into ordered pairs \((x, y)\), where \(x\) is the number of cookies and \(y\) is the total cost.

Given Information

1. The bakery charges a total of $20 for delivering 12 cookies.
2. The bakery charges a $5 delivery fee.

From this information, we can create the following ordered pair:

1. For 12 cookies: \[ (12, 20) \]

Additionally, if we consider the delivery fee of $5 separately, we might also construct pairs based on different cookie quantities if we want to explore those scenarios, but based on the specific request:

• The only ordered pair derived directly from your description is:
  • \((12, 20)\)

If you have further details or other quantities and costs to include, please let me know, and I can provide additional ordered pairs!