To find the solution to your system of equations, let's set up the equations based on the given information.
From your description, you have a "Total Cost" for "R-Fun Kites" and "Windy Kites." It appears that the costs depend on the number of kites purchased.
Let's create the equations based on your data:
-
R-Fun Kites Cost:
- Total Cost (R-Fun) = $10 * (Number of R-Fun Kites) + Fixed Cost
-
Windy Kites Cost:
- Total Cost (Windy) = $16 * (Number of Windy Kites) + Fixed Cost
Given Table:
- Distribution of Kites and their costs:
- R-Fun Kites:
- 0 kites: $10
- 1 kite: $16
- 4 kites: $40
- 7 kites: $70
- 10 kites: $100
- Windy Kites:
- 0 kites: $16
- 1 kite: $20
- 4 kites: $40
- 7 kites: $56
- 10 kites: $76
- R-Fun Kites:
Finding the Intersection:
To find the solution to the system of equations, we will see where the cost to purchase the same number of kites from both companies becomes equal.
Let's analyze the costs:
-
For purchasing 0 kites:
- R-Fun: $10
- Windy: $16
-
For purchasing 1 kite:
- R-Fun: $16
- Windy: $20
-
For purchasing 4 kites:
- R-Fun: $40
- Windy: $40
-
For purchasing 7 kites:
- R-Fun: $70
- Windy: $56
-
For purchasing 10 kites:
- R-Fun: $100
- Windy: $76
The Solution:
From the table above, we can observe that at 4 kites, the total cost for both R-Fun Kites and Windy Kites is $40. Therefore, the solution to the system of equations (the point where their costs are equal) is at:
Number of Kites: 4; Total Cost: $40
Let me know if you need any additional help!