Question

The number of bacteria present after n generations is represented by the expression below, where i is the initial number of bacteria. If there are 103 bacteria present initially, what will be the number of bacteria present after 3 generations?

Answer 1

Answer:

8000

Step-by-step explanation:

The function is given as:

[TeX] P(n)=i \cdot 2^n [/TeX]

Where I=Initial Population

n=Number of Generations

If [TeX] i=10^3 [/TeX], we want to determine the population of bacteria when n=3.

[TeX] P(3)=10^{3} \cdot 2^3 [/TeX]

[TeX] =(10*2)^3 =20^3 [/TeX]

=8000

There will be 8000 bacteria after 3 generations.