Practice Exponential Decay (1.2.3) - Exponential Growth and Decay - IB 10 Mathematics

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10 questions

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6 sample questions

Question 1.
If a tree worth $200 begins to decay at a rate of 10% annually, how much will it be worth after one year?
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Use the formula y = 200(1 - 0.10).
Question 2.
A car valued at $15,000 depreciates 5% each year. What is its value after 1 year?
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Calculate the new value using y = a(1 - r).
3Question 3.
What is the formula for exponential decay?
- y = a(1 + r)^t
- y = a(1 - r)^t
- y = a^t
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Recall the formula we discussed in class.
4Question 4.
True or False: In exponential decay, the quantity goes to zero.
- True
- False
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Think about how exponential decay behaves graphically.
Question 5.
A company has 1000 units of a product remaining in stock, and it sells them at a rate of 15% per month. How many units will it have left after 6 months?
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Calculate this step-by-step for each month.
Question 6.
A radioactive material has a half-life of 3 years. If we start with 80 grams, how much will remain after 9 years?
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Consider how many half-lives fit into 9 years.

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