Question

bacteria colonies can increase by 73% every 2 days. if you start with 150 bacteria microorganisms, how large would the colony be after 8 days

Answer 1

Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.

What is an exponential function?

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:

$A(t) = 150(1.73)^{\frac{t}{2}}$

Hence, after 8 days, the amount of bacteria is given by:

$A(8) = 150(1.73)^{\frac{8}{2}} = 1344$

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

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