Practice Set 1 – Exponential Growth (1.6.1) - Exponential Growth and Decay
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Set 1 – Exponential Growth

Practice - Set 1 – Exponential Growth

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the initial amount in the formula \( y = a(1 + r)^t \) when a town has 1,500 people growing at 3% per year?

💡 Hint: Look for the starting value, which is labeled as **a**.

Question 2 Easy

If a tree grows by 10% each year from 5 meters, what is the initial height?

💡 Hint: What do we start measuring the growth from?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following depicts exponential growth?

a steady increase
a doubling trend
a linear drop

💡 Hint: Think of situations where quantities increase rapidly!

Question 2

True or False: Exponential decay reaches zero after a certain time.

True
False

💡 Hint: Reflect on the graph's behavior near the X axis.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A city’s population is 5,000 and increases by 12% a year. What will the population be in 10 years?

💡 Hint: Think carefully about applying the formula repeatedly!

Challenge 2 Hard

A rare species of butterfly has 100 individuals and doubles every 15 days. How many will there be in 90 days?

💡 Hint: Count how many doubling periods fit in that time frame.

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