Answer:
3 minutes
Step-by-step explanation:
It says that the number of bacteria reduces by half every minute.
So we can represent this situation by the equation:
[tex]x=x_{0}*(\frac{1}{2})^{n}[/tex]
where x₀ is the original number of bacteria and x is the number of bacteria that remains after n minutes.
Plugin x₀ = 3000 and x = 375 into the above formula
[tex]375=3000*(\frac{1}{2} )^{n}[/tex]
Dividing both sides by 3000
[tex]\frac{375}{3000}=\frac{3000}{3000}*(\frac{1}{2} )^{n}[/tex]
Cancel out 3000's on the top and bottom of the right side
[tex]\frac{375}{3000}=(\frac{1}{2} )^{n}[/tex]
Simplifying the fraction [tex]\frac{375}{3000}[/tex]
[tex]\frac{1}{8}=(\frac{1}{2} )^{n}[/tex]
[tex]\frac{1}{2}*\frac{1}{2}*\frac{1}{2}=(\frac{1}{2} )^{n}[/tex]
[tex](\frac{1}{2} )^{3}=(\frac{1}{2} )^{n}[/tex]
Comparing the exponents on both sides, we get
n=3
So, it will take 3 minutes for to reduce the number of bacteria from 3000 to 375.
Answer:
3 minutes
Step-by-step explanation:
First find the number of half lifes' there is from 3000 to 375.
3000 ÷ 2 = 1500 ⇒⇒⇒⇒ 1
1500 ÷ 2 = 750 ⇒⇒⇒⇒⇒ 2
750 ÷ 2 = 375 ⇒⇒⇒⇒⇒ 3
There are 3 half lives' meaning it reduces 3 times from 3000 to 375.
Each reduction takes 1 minutes.
The total time to reduce from 3000 to 375 is:
3 × 1 = 3 minutes.
