Respuesta :

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:

[tex]A(t) = A(0)(1 + r)^t[/tex]

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:

[tex]A(t) = 150(1.73)^{\frac{t}{2}}[/tex]

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

[tex]A(8) = 150(1.73)^{\frac{8}{2}} = 1344[/tex]

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

#SPJ1