Suppose that a population of bacteria triples every hour and starts with 400 bacteria. Find an expression for the number n of bacteria after t hours. n(t) = Use it to estimate the rate of growth of the bacteria population after 3.5 hours. (Round your answer to the nearest whole number.)

Question

contestada

Respuesta :

mmartinez0901 mmartinez0901 · Answer 1 · 2020-10-10T01:12:14+02:00

Answer:

The equation would be n(t)=(400)3^t

So you would substitute 3.5 for t.

n(3.5)=(500)3^3.5

n should be 23382.6859022

Hope this helps!

Step-by-step explanation:

Answer Link

raphealnwobi raphealnwobi · Answer 2 · 2021-10-29T15:10:06+02:00

The equation is [tex]n=400(3)^t[/tex] and the bacteria population after 3.5 hours is 18706.

An exponential functions is of the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is a multiplier.

Let n represent the number of bacteria and t represent the time, hence:

Given that initially there are 400 bacteria , hence a = 400. Also it triples every hour hence b = 3. The equation becomes:

[tex]n=400(3)^t[/tex]

At 3.5 hours:

[tex]n(3.5)=400(3)^{3.5}=18706[/tex]

Hence the equation is [tex]n=400(3)^t[/tex] and the bacteria population after 3.5 hours is 18706.

Find out more at: brainly.com