Final answer:
A graph to represent the 'buy two, get one free' shirt promotion could be made using a step function with a horizontal line after two shirts to indicate the third shirt being free, showing no additional cost at that point.
Step-by-step explanation:
To represent the situation where you buy two shirts and the third one is free using a graph, we'll need a simple step function. On the horizontal axis, label the number of shirts purchased, and on the vertical axis, label the total cost. The graph will initially have a constant positive slope, increasing with each shirt you buy. Once you reach two shirts, the graph will rise to represent the cost of two shirts but will level off (horizontal line) as you receive the third shirt for free. This horizontal line indicates no additional cost for the third shirt.
Example steps for the sketch:
- Draw a horizontal axis (x-axis) labelled 'Number of Shirts Purchased' and a vertical axis (y-axis) labelled 'Total Cost'.
- Start the graph at (0,0) indicating that no shirts purchased results in no cost.
- As you move to the right, let the graph rise to indicate the cost of one and then two shirts.
- After the second shirt, draw a horizontal line to indicate that the third shirt does not add any cost, representing the promotion 'buy two, get one free'.
- Resume the positive slope after the third shirt if additional shirts are bought at the regular price.
This graph would visually illustrate the cost of the shirts and the effect of the promotion on the total price.