Question

You are an entrepreneur selling handmade kites. Your company Kites-R-Fun has been contacted by a customer in Alaska who wants to purchase several of your best-selling kites and wants you to ship them to her.

🪁You charge $6 per kite plus a flat rate (one-time) of $10 to ship these items to Alaska.

Answer 1

she wants 10 kites

Answer 2

graph it
make it a y=x+n problem

Answer 3

Great! Let's work through the details of the order for your customer in Alaska.

1. **Pricing**:
- Each kite is $6.
- Shipping cost to Alaska is a flat rate of $10.

2. **Order Calculation**:
- Let's denote the number of kites the customer wishes to purchase as \( n \).

3. **Total cost formula**:
\[
\text{Total Cost} = (6 \times n) + 10
\]

Please provide me with the number of kites the customer wants to order so that I can calculate the total cost for her!

Answer 4

Great! If the customer wants to order 10 kites, we can calculate the total cost as follows:

1. **Cost of the kites**:
\[
6 \, \text{(cost per kite)} \times 10 \, \text{(number of kites)} = 60
\]

2. **Add shipping cost**:
\[
60 \, \text{(cost of kites)} + 10 \, \text{(shipping)} = 70
\]

So, the total cost for the customer will be **$70**.

You can let her know that the total for her order of 10 kites, including shipping to Alaska, is $70. If she has any further questions or would like to proceed with the order, make sure to guide her through the payment process!

Answer 5

To graph the cost of the kites as a function of the number of kites ordered, we can represent the total cost \( y \) as a linear equation in the form of \( y = mx + b \):

1. **Determine the variables**:
- Let \( x \) be the number of kites ordered.
- The cost per kite is $6 (this is the slope, \( m \)).
- The flat shipping fee is $10 (this is the y-intercept, \( b \)).

2. **Equation**:
\[
y = 6x + 10
\]

In this equation:
- \( y \) is the total cost.
- \( x \) is the number of kites.

### Graph Explanation
- The y-intercept \( (0, 10) \) indicates that when no kites are ordered, the total cost is $10 due to the shipping fee alone.
- The slope (6) indicates that for every additional kite ordered, the total cost increases by $6.

### Points for the Graph
To visualize the graph, you can plot a few points based on the equation:
- For \( x = 0 \):
\( y = 6(0) + 10 = 10 \) → point: \( (0, 10) \)
- For \( x = 1 \):
\( y = 6(1) + 10 = 16 \) → point: \( (1, 16) \)
- For \( x = 2 \):
\( y = 6(2) + 10 = 22 \) → point: \( (2, 22) \)
- For \( x = 10 \):
\( y = 6(10) + 10 = 70 \) → point: \( (10, 70) \)

### Graph
You can create a graph using graphing software or a simple plotting tool, marking the points listed above and drawing a straight line through them:

- **X-axis**: Number of Kites Ordered (0, 1, 2, ..., 10)
- **Y-axis**: Total Cost (in dollars)

Make sure to label the axes and indicate the points clearly.

This will give you a visual representation of the total cost as a function of the number of kites ordered. If you have access to graphing tools, you can plot it there for a clearer visual. Would you like to know more about any aspect of this topic, such as how to create the graph using specific software?