Apopulation of bacteria triples every hour. is this situation linear or exponential? a. linear, because the function increases by a constant amount b. exponential, because the function decreases c. exponential, because the function grows by a common factor d. linear, because the function increases

C. Exponential, because the function grows by a common factor

Step-by-step explanation:

Given : A population of bacteria triples every hour.

To Find: Is this situation linear or exponential?

Solution:

A linear function : the rate of change is constant.

In an exponential function the rate of change is not constant. there is common growth or decay factor

Since we are given that A population of bacteria triples every hour.

So, there is a growth rate factor i.e. 3

General exponential function:

where a is the initial amount

b is the growth rate factor

So, The Function for given situation :

Thus this situation is exponential  because the function grows by a common factor.

Hence Option C is correct.

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