Exponential Growth and Decay Worksheet
This worksheet focuses on understanding and applying the concepts of exponential growth and decay in various real-world scenarios for Grade 11 students.
Includes
Standards
Topics
Exponential Growth and Decay
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following functions represents exponential decay?
y = 3(1.5)^x
y = 5(0.8)^x
y = 2x + 7
y = x^2 + 4
2. A population of bacteria doubles every hour. If you start with 100 bacteria, how many will there be after 3 hours?
200
400
800
1600
3. The formula for exponential growth is A = P(1 + r)^t, where 'r' represents the rate.
4. When a quantity decreases by a constant percentage over time, it is called exponential .
5. A car purchased for $25,000 depreciates at a rate of 15% per year. Write an exponential decay function to model the car's value after 't' years.
6. A savings account earns 4% interest compounded annually. If you deposit $1000, how much money will you have in the account after 5 years? Round your answer to the nearest cent.
7. In an exponential growth function, the base of the exponent is always greater than 1.
True
False
8. The half-life of a radioactive substance is an example of exponential growth.
True
False
9. Graph the function y = 2^x on the coordinate plane below.
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