Mathematics: Correct answers only a population of bacteria is growing according to the exponential model p = 100e^(.70)t, where p is the number of colonies and t is measured in hours. after how many hours will 300 colonies be present? [round answer to the nearest tenth.]

Correct answers only a population of bacteria is

Ответ:

saraaaaa0404

10.03.2022

Mathematics

Step-by-step explanation:

$P=100e^{(.70)t}$

$300=100e^{.7t}$

$3=e^{.7t}$

$ln3=lne^{.7t}$

ln3=.7t

$\dfrac{ln3}{.7}=t$

1.6 = t

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Ответ:

allegra0103

10.03.2022

Mathematics

Option B. 1.6 Hours

Step-by-step explanation:

The model for the population of bacteria is growing by :

$P=100e^{(0.70)t}$

Where P = Number of colonies

and t = time in hours.

So, now put the value of P = 300 in the given model and obtain the value of t.

⇒ $300=100e^{(0.70)t}$

⇒ $3=e^{(0.7)t}$

Taking the natural log in on both the side

⇒ $In3=Ine^{(0.7)t}$

⇒ In3=0.7t

⇒ $t=\frac{In3}{0.7}$

⇒ t = 1.6 hours

Therefore, The correct option is B). 1.6 hours

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Ответ:

emopandabogard8712

05.07.2020

Mathematics

200

Step-by-step explanation:

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Correct answers only a population of bacteria is growing according to the exponential model p = 100e^(.70)t, where p is the number of colonies and t is measured in hours. after how many hours will 300 colonies be present? [round answer to the nearest tenth.]

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