Need help with exponential functions for a test!!!!!

The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?

1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
3. C(t)=10(1.986)^t
4. C(t)= 240(1.986)^t/24

Answers

Answer 1

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer 2

Answer:

c

Step-by-step explanation:


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Hopes this helps if it don’t than sorry:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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