Practice Key Concepts (1.2) - Exponential Growth and Decay - IB 10 Mathematics

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10 questions

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6 sample questions

Question 1.
What is the initial value in the function y = 3 * (2^x)?
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Look for the constant before the exponent.
Question 2.
If a quantity doubles every hour, what is the growth rate?
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Doubling means the quantity is multiplied by 2.
3Question 3.
What is the formula for exponential growth?
- y = a(1 + r)^t
- y = a(1 - r)^t
- y = ab^x
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Think about the increase in terms of percentage.
4Question 4.
Is exponential decay characterized by a growth base less than 1?
- True
- False
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Remember, what does a base less than 1 signify?
Question 5.
A tree grows at an exponential rate, currently 3 meters tall. If it grows by 40% each year, how tall will it be after 5 years?
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Find the new height each year based on the previous height’s growth.
Question 6.
A starting investment of $1,000 generates 6% interest compounded annually. What will it be worth in 10 years?
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Each year, the interest is calculated on the total, not just the initial amount.

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