You have just been elected to the position of city manager in your town, and you

Question

You have just been elected to the position of city manager in your town, and your main duties are to make recommendations to the future planning committee about additional services needed, capital improvements to be made, and general ideas about how to make the town livable for residents as it continues to grow The population of your area is estimated to increase by 10% each year. As of the last census, the population was 15,000. Graph the population function and find out what the population will be 5 years from now and 10 years from now In your initial discussion post, include the function you used to describe the population, and the expected population 5 and 10 years from now. Also address the following questions:

Explanation / Answer

Present population = 15000
Rate of increase per yr L 10%

So, we have
A = P(1 + r)^t

A = 15000(1 + 10%)^t

A = 15000(1.1)^t

5 yrs from now :
15000(1.1)^5
24158 approx

10 yrs from now :
15000(1.1)^10
38906.1369015
So, approx 38906

a)
As a city manager, it is your duty to understand population growth forecasts so that you can prepare fob job creation, growth, etc. This is why it is important

b)
You can prepare marketing for job creations so that your entire population has jobs available in the market to be able to earn their living. You can prepare to build more buildings/parks/malls etc to handle your population.

c)
Well, what we had here was an exponential function, which could be either exponential growth or decay

Examples of exponential growth :
The number of bacteria in a bacteria culture

Examples of exponential decay :
The decrease in the weight of radioactive material with time
The decrease in the value of a car once u buy it

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