The number of bacteria reduces by half every minute - it can be represented by the equation:
\(x=x_0 \times (\frac{1}{2})^n\)
where x₀ is the initial number of bacteria and x is the number of bacteria after n minutes.
\(x_0=3000 \\
x=375 \\ \\
375=3000 \times (\frac{1}{2})^n \\
\frac{375}{3000}=(\frac{1}{2})^n \\
\frac{1}{8}=(\frac{1}{2})^n \\
(\frac{1}{2})^3=(\frac{1}{2})^n \\
n=3\)
It takes 3 minutes for the number of bacteria to reduce from 3000 to 375.
