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MissPhiladelphia

A
quantity is subject to exponential decay if it decreases at a rate
proportional to its current value. Symbolically, this process can be expressed
by the following differential equation, where N is the quantity and λ (lambda) is a
positive rate called the exponential decay. So the function represents a exponential decay is
f(x) = 4 (2/3)^x

 

carlosego

For this case we have a function of the form:
 \(y = A * (b) ^ x\)
 Where,
 A: initial amount
 b: change of rate
 b> 1: the exponential function grows
 b <1: the exponential function decreases
 x: independent variable
 y: dependent variable
 We then have the following function:
 \(f (x) = 4 (2/3) ^ x\)
 Where,
 \(b = 2/3\)
 As b <1 then the exponential function decreases
 Answer:
 A function that represents exponential decay is:
 \(f (x) = 4 (2/3) ^ x\)

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