Start with the data. This bot played a full 5-minute match. No formula yet — just watch what happened.
| t (min) | Power |
|---|---|
| 0 | 100% |
| 1 | 79% |
| 2 | 58% |
| 3 | 37% |
What do you notice about how power changes over time?
Write at least 2 observations. One must include a specific number.
Will the power ever reach 0%?
Based on this pattern, what will P(4) be?
No scaffolding. No per-row feedback. You get one submit per table.
If E doubles from 5 to 10, the time before the bot hits the 20% floor also doubles.
Pick one. Don't calculate yet.
First: what is the decay rate when E = 4?
Now fill in P(t) for each minute. One submit.
| t (min) | P(t) |
|---|
With E = 2, can your bot's power ever reach 0%?
Pick one and explain your reasoning. Commit before you see Part B.
Explain your reasoning:
Commit to two predictions before the slider unlocks. You can't change them after.
You just calculated the E=2 table in Part B.
Does your E=2 bot hit the 20% floor before the 3-minute mark?
If E increases, the bot hits the 20% floor:
Review your two predictions above.
Explain what the graph shows and whether each prediction was right. Use numbers from the graph — not just "yes" or "no".
Answer all three questions. Use the sentence frames as a starting point, then make it your own.
| t | 0 | 1 | 2 | 3 | 4 | 5 |
|---|
Write the rule for each phase using math notation.
Fill in the blanks with actual formulas and the exact transition time for your current E value. The transition time changes with E — check the reference graph above.
At what minute does your bot drop below 50% power? Show your work.
Show your work:
You have 20 total points. Your teammate is choosing between E = 8 and E = 14. Which should they pick?
Calculate what each option gives at t = 3. Show your work. Then make a recommendation and defend it — including what each choice costs in remaining points.
Pick one, then argue your case:
Two requirements: your bot must stay above 50% power at t = 3, and you must keep at least 8 points for Turning and Power. Solve for the valid range of E — then pick within it.
Two constraints — both must hold:
Set up both inequalities. Solve each for E. The minimum E that satisfies both is your answer — guessing fails when there are two constraints to cross.