1. Describe your story and what real-life situation it modeled?
Our story was about Johnny, an employee’s annual income throughout his years working at the company called “The 67”. Our model represented his overall increasing annual income, increasing until the 4th-5th year working at the company, and lastly when he gambled all his money away.
2. What part of your project are you most proud of? Why?
I’m most proud of how clearly I explained what each slope means in my graph and how it connects to the story. In my example, every slope shows how Johnny’s income changes over time. For instance, during the “As an Intern” stage, the slope of 25,000 means Johnny’s income goes up by $25,000 each year at a steady rate. When the slope is 0 in the “Official Worker” stage, it shows that his income stays the same for that year. In the “Gambling” stage, the negative slope of –60,000 shows that his income is decreasing, which makes sense in the context of the story. I also pointed out that the steepest slope is during the “Senior Developer” stage, meaning that’s when Johnny’s income increases the most.
I’m also proud of how I explained why slope-intercept form works best for this problem. In this form, the slope shows how much Johnny’s income changes each year, and the y-intercept shows his starting salary. That makes the graph and equation easy to understand right away. Compared to point-slope form, slope-intercept form is simpler and more direct, since you don’t need extra steps to interpret what the equation is telling you.
3. What was the hardest part of creating your piecewise function?
The hardest part was managing my time. There were a lot of parts to this project, and it was easy to spend too much time on one section and then feel rushed on the others. If I improved my time management and had a clear idea on when the deadline is, I would have finished the project with less stress.
4. If you could revise one part of this project, what would you improve and how?
If I could revise one part, I would improve how clearly I labeled and explained each interval on the graph. I would add more clearer notes or annotations directly on the graph to make it easier to see which part of Johnny’s career each line represents and why the slope changes.
5. What did this project help you understand better about piecewise functions?
This project allowed me to strengthen my understanding about piecewise functions on basically every aspect of it. It had a well rounded requirement on our understanding of eg. slope, intercepts, and different formulas on equations of the function. Overall, the projected bettered my ability to deal with piecewise functions.









