The growth of a bacteria population is modeled by the equation p(h) = 1,000(0.4h)
How long does it take for the population to reach 1,000,000? Explain or show how you know.

The growth of a bacteria population is modeled by the equation ph 100004h How long does it take for the population to reach 1000000 Explain or show how you know class=

Respuesta :

Answer:

you have to multiply then divide the o.4h

Step-by-step explanation:

The amount of time that is taken for the population to reach 1,000,000 will be 17.27.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The growth of a bacteria population is modeled by the equation given below.

[tex]\rm p(h) = 1,000 \times e^{(0.4h)}[/tex]

Then we have

Then the amount of time which is taken for the population to reach 1,000,000 will be

[tex]\rm 1,000,000 = 1,000 \times e^{(0.4h)}\\\\1000 = e^{0.4h}[/tex]

Taking log on both sides, then we have

ln 1000 = 0.4 x h x ln e

    6.91 = 0.4 x h

         h = 17.27

More about the exponent link is given below.

https://brainly.com/question/5497425

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