Vocab Words
the process where a quantity decreases at a rate proportional to its current value
What is Exponential Decay
The number of bacteria in a petri dish doubles every hour. This is an example of Exponential ___
What is Exponential Growth?
A bank offers an interest rate of 4% per year, compounded annually. If you deposit $1,000, how much money will you have after 1 year?
What is $1,040?
The percent increase of the function, often represented as a decimal
What is Exponential Growth
The rate at which the quantity decreases is proportional, this is called ___
What is continuous decay?
The value of a car is modeled by the exponential decay function V = 20,000 x (0.85)^t, where t is the number of years. What is the value of the car after 3 years?
What is $11,450?
Starting Value, Growth/Decay Factor, Time
What is The Standard Form of Exponential Function
In the Exponential function y=axbx, if 0<b<1, the graph will show this behavior
What is Exponential decay?
If an investment grows by 6% per year, compounded continuously, how much will a $1,000 investment be worth after 2 years?
What is approximately $1,126.16?
A change occurring in a non-linear way, where the rate of change is proportional to the current value.
What is Half Life
If a bacteria culture doubles every hour, the number of bacteria after "t" hours is given by this exponential function.
What is Exponential Growth?
A population of rabbits doubles every 3 months. If the population starts at 100, what will the population be after 9 months?
What is 800?
A change occurring in a non-linear way, where the rate of change is proportional to the current value.
A radioactive substance has a half life of 2 hours. After 2 hours, the amount of substance will be reduced by half. This an example of an Exponential Function
What is Exponential Decay?
The number of bacteria in a petri dish follows the function N = 500 x 2^t, where t is the time in hours. How many bacteria are there after 4 hours?
What is 8,000?