Answer:
10,219 bacteria
Step-by-step explanation:
In this question, we are asked to calculate the population of bacteria in a culture given the formula for the population increase.
From the question, we know the formula to use is
Pt=Po*2^t/d
From the parameters in the question, we identify that Pt is ?, Po is 8300 bacteria , t is 3 hours and d is 10 hours which is the doubling time. Inserting these figures we have;
Pt = 8300 * 2^(3/10)
Pt = 8300 * 2^0.3
Pt = 10,218.5
Pt = 10,219 bacteria to the nearest whole number
Answer:
10218
Step-by-step explanation:
A culture of bacteria has an initial population of 8300 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P
t
=P
0
⋅2
d
t
, where P_tP
t
is the population after t hours, P_0P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
P_0=8300
P
0
=8300
The initial population
t=3
t=3
Time elapsed
d=10
d=10
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=8300\cdot 2^\frac{3}{10}
P
t
=8300⋅2
10
3
Plug in
P_t=10218.4986\approx10218
P
t
=10218.4986≈10218
Use parenthesis in the calculator for the exponent
10218
