Question

an exponential decay function represents a quantity that has a decreasing halving time. true or false?

Answer 1

False.

The exponential decay can be expressed in any variable. In fact, a quantity is subject to exponential decay if it decreases at a rate proportional to its current value. In this way, we can write the exponential decay model as follows:

$y=ae^{-bx}, \ b>0$

So, an example of an exponential decay is shown in the Figure below. See that $f(x) \rightarrow 0 \ as \ x \rightarrow \infty$. The $y-intercept$ of this function is 1 as you can see.

Answer 2

Because exponential decay decreases at a rate proportional to its current value, we say the statement is false.

What is an exponential decay function?

Generally, exponential decay shows the process of decreasing an amount by a consistent percentage in time.

In conclusion, A quantity is subject to exponential decay, when it decreases at a rate proportional to its current value.

Hence, the statement is false

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