Question

The number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

B(d)= 2425e to the power of 0.15 d

How many days will it take for the bacteria to reach 3,700?

Answer 1

The time taken by the bacterias to reach 3,700 will be 2.81 days.

What will be the time?

It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:

$B(d)=2425\ e^{0.15d$

$3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}$

d   =   2.81  days

Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.

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