Question

To protect the endangered species, some leatherback sea turtles are introduced into a protected ecosystem. The following function models the population of leatherback sea turtles, P as a function of the time, t in years, since they are introduced in the p

To protect the endangered species, some leatherback sea turtles are introduced into a protected ecosystem. The following function models the population of leatherback sea turtles, P as a function of the time, t in years, since they are introduced in the protected ecosystem 

P(t)=50+16t/2+0.1t 


https://i.gyazo.com/6e841f27ba9baa591cedde57db932a8f.png 


a. What is the initial number of leatherback sea turtles introduced into the protected ecosystem?


b. Graph the population of leatherback sea turtles for the next 100 years.

c. Determine is the range of the model.


d. How many leatherback sea turtles can be found in the protected ecosystem after 50 years?


e. After how many years will there be 100 leatherback sea turtles?

 

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Answer #1

270. Prol = 25 turtles. 150 137 1404 100 90 90 70 LO SD 40 30 20 101 t 100 30 40 so 60 70 80 90 100 the cuore seems From the-) 16-only = 0 At t=0 -) 93460 The maximum population Rangle can be (160) turtles (17,160) At t=so 50+ 16(50) P(50) 2 + 0.1(5

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