Question

A certain population of bacteria has an initial population of 225. the bacteria triples every hour. determine the multiplier that would allow you to predict the population of bacteria after 2 hours.

Answer 1

Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.

What is an exponential function?

An exponential function is modeled by:

$y = ab^x$

In which:

• a is the initial value.

• b is the growth rate.

In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:

$y = a(3)^x$

Hence, after 2 hours:

$y = a(3)^2 = 9a$

Which means that the multiplier is of 9.

More can be learned about exponential functions at brainly.com/question/25537936

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