Question

4. The number of bacteria in a petri dish, after t hours, can be modeled bythe function p(t) = 8(2)4t. Which best describes the value of p(4)?A There will be 128 bacteria in thepetri dish after 16 hours.C. There will be 524,288 bacteria inthe petri dish after 16 hours.B. There will be 128 bacteria in the D. There will be 524,288 bacteria inpetri dish after 4 hours.the petri dish after 4 hours.

Answer 1

There will be 524,288 bacteria in petri dish after 4 hours.

Explanations:

Given the function that modeled the number of bacteria in a petri dish, after t hours expressed as:

`P(t)=8(2)^(4t)`

The value of p(4) is expressed as:

`\begin{gathered} P(4)=8(2)^(4(4)) \\ P(4)=8(2)^(16) \\ P(4)=8(65536) \\ P(4)=524288\text{ }bacterias \end{gathered}`

Hence there will be 524,288 bacteria in petri dish after 4 hours.