## Which table shows exponential decay? A B C D

Question

Which table shows exponential decay? A B C D

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A)

Step-by-step explanation:

Exponential decay occurs when a population decreases at a consistent rate over time.

Here let’s take “x” be the time and “y” be the population.

Rate in the population = constant.

16/8 = 2

8/4 = 2

4/2 = 2

The rate is decreasing constantly.

Thank you.

2. For exponential decay, the value of y column should be decreases with increase in the value of x column with constant exponential coefficient. Thus the table A shows the exponential decay with constant exponential coefficient.

### What is exponential decay?

When the value of one variable of the function is decreased with increase in the number of other variable, then it is called the exponential decay function with constant exponential coefficient.

It can be given as,

[tex]dfrac{dN}{dt}=-lambda N[/tex]

Here, [tex]lambda[/tex] is the exponential coefficient.

The more the value of this exponential coefficient result in more exponential decay of the function.

For the table A, the exponential coefficient for first and second row is,

[tex]lambda=dfrac{16}{8}=2 [/tex]

Similarly,

[tex]lambda=dfrac{8}{4}=2 lambda=dfrac{4}{2}=2 [/tex]

As all the values of exponential coefficient is same, thus this shown the exponential decay.

For the option B,C, and D the value of exponential coefficient is not same.

The data given in the table A , the value of y decreases with increase in the value of x with constant exponential coefficient. Thus the table A shows the exponential decay.