Practice Introduction (1.1) - Exponential Growth and Decay - IB 10 Mathematics

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6 sample questions

Question 1.
What is the exponential growth formula?
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Remember the structure of the equation.
Question 2.
In exponential decay, if a quantity decreases by 10%, what is the decay factor?
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Subtract the percentage from 1.
3Question 3.
What is the formula for exponential decay?
- y = a(1 + r)^t
- y = a(1 - r)^t
- y = ab^x
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Think about how the quantity decreases.
4Question 4.
True or False: In exponential growth, the base (b) is always greater than 1.
- True
- False
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Recall the definition of growth.
Question 5.
A town has 2,000 residents and grows at a rate of 2.5% per year. How many residents will it have in 8 years?
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Apply the growth formula correctly over the 8 years.
Question 6.
A radioactive substance has a half-life of 3 years. If you start with 160 grams today, how much will be left after 12 years?
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Calculate how many half-lives fit into the 12-year period.

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