A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 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 2 hours, to the nearest whole number?

10077

Step-by-step explanation:

A culture of bacteria has an initial population of 5400 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 9 hours, to the nearest whole number?

P_0=5400

P

0

=5400

The initial population

t=9

t=9

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=5400\cdot 2^\frac{9}{10}

P

t

=5400⋅2

10

9

Plug in

P_t=10076.7563\approx10077

P

t

=10076.7563≈10077

Use parenthesis in the calculator for the exponent

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,