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Exponential Growth and Decay - All
Exponential Growth and Decay - Concept

Concept Concept (1)

Exponential decay refers to an amount of substance decreasing exponentially. Exponential decay is a type of exponential function where instead of having a variable in the base of the function, it is in the exponent. Exponential decay and exponential growth are used in carbon dating and other real-life applications.

Sample Sample Problems (8)

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Exponential Growth and Decay - Problem 1

When Archeologists found King tuts tomb, they found a wooden stick that had 71% of its original carbon-14 amount.

Using C-14 dating and r = -0.00012 to figure out the age of the tomb.
Problem 1
How to solve a carbon-14 dating question.
Exponential Growth and Decay - Problem 2

The amount of a drug in ones blood decreases according to A(t) = 10e-2t, with t in hours.

a) How much remains after 2 hours?
b) When will there be half the original amount?
Problem 2
How to use exponential decay to find the amount of drug left in somebody's blood stream.
Exponential Growth and Decay - Problem 3

Number of rabbits on a farm increases according to N(t) = 200e0.3t, with t in months.

a) initial amount
b) How many after 10 months?
c) How long to triple?
Problem 3
How to use exponential growth to find the size of a population.
Exponential Growth and Decay - Problem 4
Problem 4
Determining after how many years a product will be worth a certain amount.
Exponential Growth and Decay - Problem 5
Problem 5
How to use exponential decay to predict how much an item will be worth after a certain amount of time
Exponential Growth and Decay - Problem 6
Problem 6
Predict population size after a certain amount of time.
Exponential Growth and Decay - Problem 7
Problem 7
How to predict the age of a fossil with a known decay constant and exponential decay modeling.
Exponential Growth and Decay - Problem 8
Problem 8
Application of Newton's Law of Cooling to show how long it takes an item to cool.
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