A population of bacteria is growing according
to the equation P(t)=1000e0.12t, where P(t) is
the population and t is the time in hours.
Estimate when the population will reach 5000.
Round to the tenths.

Respuesta :

Answer:

13.4

Step-by-step explanation:

The time at which the population reach 5000 is 13.4 years.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The time taken to reach a population of 5000 is,

[tex]P(t) = 1000e^{0.12t}\\5000= 1000e^{0.12t}\\5 = 1000e^{0.12t][/tex]

Take a log on both sides.

ln( 5 ) = 0.12t

t = ln ( 5 ) / 0.12

t = 13.4 years.

Therefore the time at which the population reach 5000 is 13.4 years.

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