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In a medical experiment, the number of bacteria is halved every hour. What type of function represents this pattern?
A. Decreasing linear
B. Increasing linear
C. Exponential growth
D. Exponential decay

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Respuesta :

Exponential Decay, The answer is D. 

Answer:

D. Exponential decay

Step-by-step explanation:

Let P be the initial number of bacteria,

Given,

The number of bacteria is halved every hour.

So, After x hours the number of bacteria,

[tex]y=P(\frac{1}{2})^x[/tex]

Since, it is the type of exponential function [tex]y=ab^x[/tex],

Thus, the function represents the given situation is exponential.

Now, there are two types of exponential functions,

(i) Exponential growth : If b > 1

(ii) Exponential decay : if 0 < b < 1,

Now, By comparing,

b = 1/2

Also, 0 < 1/2 < 1

Hence, the function that shows the given situation or pattern is exponential decay.

Option D is correct.

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