Practice Exponential Growth (1.2.2) - Exponential Growth and Decay - IB 10 Mathematics

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9 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Calculate the population of a town that starts at 1,000 and grows 5% per year after 5 years.
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Use 𝑦 = 𝑎(1 + 𝑟)𝑡.
Question 2.
If a tree is currently 3 meters tall and grows 10% each year, what will its height be after 2 years?
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Apply 𝑦 = 𝑎(1 + 𝑟)𝑡 to find the height.
3Question 3.
What formula represents exponential growth?
- 𝑦 = 𝑎(1 + 𝑟)^𝑡
- 𝑦 = 𝑎(1 - 𝑟)^𝑡
- 𝑦 = 𝑎 ⋅ 𝑏^𝑥
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Think about how quantities increase over time.
4Question 4.
True or False: Exponential decays occur when the base is greater than 1.
- True
- False
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Remember the characteristics of base values.
Question 5.
A company’s sales increase by 25% per quarter. If the initial sales are $10,000, what will they be after 1 year?
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Use the growth formula with quarterly periods.
Question 6.
A piece of furniture depreciates by 10% annually. If the original value is $1,200, find its value after 5 years.
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Apply the decay formula accurately.

5 more questions in this section. Enroll free to practise them all.