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Name: ___Date: ___Exponential Growth & Decay Warm: Evaluate the following exponential functions over the given domain. Graph the function over the given domain on the coordinate plane below. Determine
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How to fill out exponential growth and decay
How to fill out exponential growth and decay
01
Understand the general form of exponential growth and decay equations: y = a * e^(kt), where 'a' is the initial value, 'k' is the growth or decay rate, 't' is time, and 'e' is the base of the natural logarithm.
02
Determine whether the scenario involves exponential growth or decay. Growth occurs when the value of 'k' is greater than 0, while decay occurs when 'k' is less than 0.
03
Identify the initial value 'a' and the growth or decay rate 'k' from the given problem.
04
Substitute the values of 'a', 'k', and 't' into the exponential growth or decay equation.
05
Solve for 'y', which represents the final value after the given time 't'.
Who needs exponential growth and decay?
01
Scientists and researchers studying population growth, bacteria growth, and radioactive decay.
02
Investors analyzing compound interest and financial investments.
03
Engineers working on exponential growth models in various fields such as electronics, telecommunications, and environmental science.
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What is exponential growth and decay?
Exponential growth is a process that increases at a constant percentage rate over time, while exponential decay is a process that decreases at a constant percentage rate over time.
Who is required to file exponential growth and decay?
Anyone who is analyzing processes that exhibit exponential growth or decay is required to understand and apply the concepts.
How to fill out exponential growth and decay?
To fill out exponential growth and decay, one must understand the initial value, growth/decay rate, and time period involved.
What is the purpose of exponential growth and decay?
The purpose of understanding exponential growth and decay is to predict future values based on current trends and make informed decisions.
What information must be reported on exponential growth and decay?
The information that must be reported includes initial value, growth/decay rate, time period, and any relevant assumptions or constraints.
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