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 \( y = mx + b \):
-
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, \( b \)).
-
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?