Build a repeated-factor table
See this course’s project requirements
A population and cooling model sheet comparing repeated addition with repeated multiplication and checking predictions against supplied observations.
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What to include
- Compare a linear and an exponential sequence.
- Show repeated-factor tables and direct formulas.
- Check two growth and two decay calculations.
- Explain a doubling or halving interval from supplied data.
- Compare a model with observations and retain its mismatch.
Review and revise
Use these criteria to check your work and choose what to improve.
- Method: applies the course-specific rules to the supplied cases with visible intermediate work.
- Accuracy: results agree with the stated facts, units, boundaries and independent checks.
- Reasoning: explains why the result follows and identifies a limitation or unresolved question.
- Transfer: completes changed cases and revises the final project when a relevant assumption changes.
Want more background?
The idea in everyday life
Fictional colony model N=15×2^t for integer days 0 through 4; no actual organism cultivation.
An exponential rule a×b^t applies the factor b once per interval. At t=0 no multiplication interval has passed, so b^0=1 and the output is a.
Build a repeated-factor table — worked practice
An exponential rule a×b^t applies the factor b once per interval. At t=0 no multiplication interval has passed, so b^0=1 and the output is a.
Fictional colony model N=15×2^t for integer days 0 through 4; no actual organism cultivation.
Case information
Paste at A1.
| ARecord | BGiven |
|---|---|
| Original case | Fictional colony model N=15×2^t for integer days 0 through 4; no actual organism cultivation. |
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1. 1. Set the start
Record the day-zero count.
You should see: N(0)=15.
2. 2. Repeat
Multiply the previous value by two for each day.
You should see: 15,30,60,120,240.
3. 3. Check powers
Calculate day three directly from the rule.
You should see: 15×2^3=120.
4. 4. Limit
Label the table as a simplified model with no resource constraint.
You should see: The table describes the stated model, not indefinite real growth.
What to finish
A repeated-factor table with a direct-power check.
Watch for this
Multiplying by three counts intervals incorrectly.
How can I tell I understand it?
Count multiplication intervals correctly and state the model’s limits.
Quick knowledge check
Answer all 3 questions. Get at least 2 right and the lesson completes automatically.
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Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.
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Source & access notes · checked 2026-10-01
Web open/search showed the official page, its topic heading and relevant concept description. This is a content/source check, not a provider endorsement. Exact topic chapters were opened in web result turn 325view 0–14.
Access: Official page retrieved with the web reader on 2026-10-01; interactive tools and videos were not certified by retrieval.
Reuse: Original fictional teaching cases, calculations, questions and examples; link and short factual paraphrase only. No copied source exercises or illustrations.
Source & access notes · checked 2026-10-01
Web open/search showed the official page, its topic heading and relevant concept description. This is a content/source check, not a provider endorsement.
Access: Official page retrieved with the web reader on 2026-10-01; interactive tools and videos were not certified by retrieval.
Reuse: Original fictional teaching cases, calculations, questions and examples; link and short factual paraphrase only. No copied source exercises or illustrations.
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