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sp2606 [1]
3 years ago
7

you begin playing a new game called hooville. You are King of Hooville, a city of owls that is located in the treetops near Ford

s of Beruna. In order to know how much food to produce each year, you must predict the population of Hooville. History shows that the population growth rate of Hooville is 3.5%. The current population of owls is 80,000. Using the monetary growth formula that you used in the Uncle Harold problem, write a new function for the population of hooville. (let n=1.)​ PLEASE HELP. I HAVE NO IDEA WHAT IM DOING!!

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:

Part 1) y=80,000(1.035)^{x}

Part 2) The table in the attached figure

Part 3) The graph in the attached figure

Step-by-step explanation:

Part 1) Find the population function

In this problem we have a exponential function of the form

y=a(b)^{x}

where

y ----> is the population

x ----> the time in years

a is the initial value (a=80,000 people)

b is the base (b=100%+3.5%=103.5%=1.035)

substitute

y=80,000(1.035)^{x}  

Part 2) Construct the table

For x=0 years  

substitute in the function equation

y=80,000(1.035)^{0}=80,000\ people  

For x=10 years

substitute in the function equation

y=80,000(1.035)^{10}=112.848\ people

For x=20 years

substitute in the function equation

y=80,000(1.035)^{20}=159,183\ people

For x=40 years

substitute in the function equation

y=80,000(1.035)^{40}=316,741\ people

For x=50 years

substitute in the function equation

y=80,000(1.035)^{50}=446,794\ people

For x=75 years

substitute in the function equation

y=80,000(1.035)^{75}=1,055,884\ people

For x=100 years  

substitute in the function equation

y=80,000(1.035)^{100}=2,495,313\ people

Part 3) The graph in the attached figure  

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