Math, asked by armandeep97, 10 months ago

While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it take for 3,000 bacteria to reduce to 375?

Answers

Answered by 6954treesa
0

Answer:

The number of bacteria reduces by half every minute - it can be represented by the equation:

x= x_{0 × (\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 ×(\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.

Similar questions