A population of bacteria doubles every 15 hours. initially, the population of bacteria is 40. What is the population of bacteria

Question

3 years ago

9

after 40 hours? Enter your answer, rounded to the nearest whole number, in the box.

1 answer:

mario62 [17] · Answer 1 · 2022-06-19T13:08:19+03:00

The population of bacteria after 40 hours is 254

Step-by-step explanation:

Initial population of bacteria = 40

Growth rate: Doubles every 15 hours

The population function is given as:

$P_t = P_0 * r^t$

Here

P0 is the initial population

r is the growth rate

and t is the time in hours

The growth rate will be: $2^{\frac{t}{15}}$

Putting the values in the function

$P_t = 40 * 2^{\frac{40}{15}}\\P_t = 40 * 2^{2.67}\\P_t = 40 * 6.34960...\\P_t = 253.98416...$

Rounding off to nearest whole number we get

P_t ≅254

Keywords: Population growth,, bacteria

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