Comment on this discussion.
Scenario: Modeling the cost of buying pens in bulk. x represent the number of pens purchased. y represent the total cost of the pens in dollars. f(x)={2x,if x=5}{10, if x>5} For buying up to 5 pens, the cost is $2 per pen. For buying more than 5 pens, the cost is a rate of $10. In this graph the x-axis represents the number of pens purchased, and the y-axis represents the total cost of the pens in dollars.
This scenario represents a piecewise function where the cost of purchasing pens changes depending on the number of pens bought. The function f(x) is defined differently for x values equal to 5 or less and those greater than 5. This accurately models the real-life situation where bulk purchases often come with discounts or different rates.
The graph of this function would show a horizontal line at y=10 for x values greater than 5, indicating a constant cost of $10 no matter how many pens are purchased. For x values of 5 or less, the graph would be a linear function with a slope of 2, representing the $2 per pen cost.
Overall, this model effectively represents the cost of buying pens in bulk and the visual representation on a graph would clearly show the different rates for purchasing different quantities of pens.