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JACUSTOMER-yrynbdjl-, Master's Degree
Category: Math Homework
Satisfied Customers: 185
Experience:  I have taught college Mathematics for the past 10 years.
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# A protected wooded area was stocked with 1500 deer of a certain

### Resolved Question:

A protected wooded area was stocked with 1500 deer of a certain species in 1995. The deer population in 2010 was found to be 3350 deer.

a. Let t be the number of years after 1995. Find the deer population at t=0.

b. Find the growth function that gives the deer population t years after 1995.

c. Predict the deer population in 2020.

d. In what year will the deer population reach 9,000? Give the exact value for t and then use your calculator to approximate t to get the year.

e. Are your answers for parts (c) and (d) consistent with the given population data in you found to the answer in part (b)?
Submitted: 2 years ago.
Category: Math Homework
Expert:  JACUSTOMER-yrynbdjl- replied 2 years ago.

JACUSTOMER-yrynbdjl- :

I am working out the solution

Customer:

ok

JACUSTOMER-yrynbdjl- :

have solution

JACUSTOMER-yrynbdjl- :

Customer:

ok

JACUSTOMER-yrynbdjl- :

https://app.box.com/s/p2viby3rvtsah8e64z5l

JACUSTOMER-yrynbdjl- :

Please get back with any questions you have

Customer:

Looking at it now. It is a little hard to read though

JACUSTOMER-yrynbdjl- :

sorry I tried to get the answer to you quickly. Take your time and I would be happy to answer any questions you have

Customer:

Sure thing, thank you.

Customer:

Looking at the steps

JACUSTOMER-yrynbdjl- :

first I tried to find the population growth rat g given data in 1995 and 2010

Customer:

On 'b' is that y(t)= 1500e^.0536t?

JACUSTOMER-yrynbdjl- :

1995 to 2010 is 15 years

JACUSTOMER-yrynbdjl- :

yes that is correct

Customer:

How did you find the function?

JACUSTOMER-yrynbdjl- :

this is the standard growth function formula - population growth is an exponential function

Customer:

That's right. So in 'c' the input was 28, but should it be 15 since that is the amount of time that passed?

JACUSTOMER-yrynbdjl- :

2020 is 25 years after 1995

Customer:

Oh yeah, gosh I'm a bit clumsy at times

JACUSTOMER-yrynbdjl- :

I am also

Customer:

So 'd' is approx 33 years from 1995?

JACUSTOMER-yrynbdjl- :

to reach a population of 9000 right 33.428 years

Customer:

And to get that answer you used the standard growth formula but made it equal to 9000 and solved for 't'?

JACUSTOMER-yrynbdjl- :

yes i used the formula in b and solved for t to and section d

Customer:

Ok, just looking at the last part

Customer:

Thank you for waiting, just want to make sure that it makes sense to me.

Customer:

and that I fully understand the steps

JACUSTOMER-yrynbdjl- :

what i did there was see if it makes sense from 2020 to 2028 or 8.428 years to see if this was consistant with the g found in b

Customer:

Ok, I got it now, thank you.

Customer:

I am satisfied with this answer

JACUSTOMER-yrynbdjl- :

JACUSTOMER-yrynbdjl- :

nice to work with you

Customer:

I'll be sure to leave a bonus. Thank you for your time and patience.

JACUSTOMER-yrynbdjl-, Master's Degree
Category: Math Homework
Satisfied Customers: 185
Experience: I have taught college Mathematics for the past 10 years.

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