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.

🪁 Multiply the number of kites by 6 and add 10 to get the cost at Kites-R-Us. 🪁

Write an equation for the total cost,
y, in terms of the number of kites purchased
​x:

y=
Submit
Optional: Complete the table below to find the pattern.

Kites Purchased
Total Cost for Kites-R-Fun
0
$10
1
$16
4
7
10

1 answer

To find the total cost \( y \) in terms of the number of kites purchased \( x \), we can formulate the equation based on your pricing structure.

You charge $6 for each kite and a flat shipping fee of $10. Therefore, the equation for the total cost can be expressed as:

\[ y = 6x + 10 \]

Where:

  • \( y \) is the total cost,
  • \( x \) is the number of kites purchased.

Next, let's complete the table with different values for kites purchased:

| Kites Purchased (\( x \)) | Total Cost for Kites-R-Fun (\( y \)) | |-----------------------------|---------------------------------------| | 0 | \( y = 6(0) + 10 = 10 \) | | 1 | \( y = 6(1) + 10 = 16 \) | | 4 | \( y = 6(4) + 10 = 34 \) | | 7 | \( y = 6(7) + 10 = 52 \) | | 10 | \( y = 6(10) + 10 = 70 \) |

So, the completed table will look like this:

| Kites Purchased | Total Cost for Kites-R-Fun | |----------------|------------------------------| | 0 | $10 | | 1 | $16 | | 4 | $34 | | 7 | $52 | | 10 | $70 |