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using this module predict when it will take to reach approximately 300 female turtles ? how many female turtles will there be in 7 years?

using this module predict when it will take to reach approximately 300 female turtles-example-1
User Schlingel
by
7.2k points

1 Answer

5 votes

Answer

a) It will take 3.54 years for the turtle population to hit 300 female turtles.

b) There will be 78,125 female turtles in 7 years.

Step-by-step explanation

The model has been give to us as

T(t) = 5ᵗ

where

T(t) = Female turtle population at any time t

t = time in years

First part of the question asks us to find when the turtle population will hit 300 female turtles. That is, find t when T(t) = 300

T(t) = 5ᵗ

300 = 5ᵗ

We can rewrite this as

5ᵗ = 300

We will take the natural logarithms of both sides

In 5ᵗ = In 300

t (In 5) = In 300

t (1.6094) = 5.7038

Divide both sides by 1.6094

t = (5.7038/1.6094)

t = 3.54 years = 3 years, 6.5 months

For the second part of the question, we want to calculate the number of female turtles when t = 7 years

T(t) = 5ᵗ

T(7) = 5⁷ = 78,125 female turtles

Hope this Helps!!!

User Vkostromin
by
8.3k points

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