The formula you would use to find the amount of bacteria is a(1+r/n)^nt
1000(1 + 0.06/1)^1t
t = 4
1000(1.06)^4
1000(1.2624769)
1262.47
since you cant have .47 bacteria, we round down to 1262.
Therefore your answer is #2 which is 1262 bacteria.
Bacteria grows exponentially. The number of bacteria after 4 hours is given by: Option B: 1262
Suppose that initial amount of some thing is P.
Let after one unit of time, it increases by R% (per unit time) and compounds on the resultant total of those quantity, then, after T such units of time, then the quantity would increase to:
[tex]A = P(1 + \dfrac{R}{100})^T[/tex]
For the given case, we have:
Thus, the final number of bacteria after 4 hours would be:
[tex]A = P(1 + \dfrac{R}{100})^T = 1000(1 + \dfrac{6}{100})^4 = 1000(1.06)^4\\\\A \approx 1262.48 \approx 1262[/tex]
(As the number of bacteria is going to be from whole numbers).
Thus, the number of bacteria after 4 hours is given by: Option B: 1262
Learn more about exponential growth here:
https://brainly.com/question/15864523
