In the year 2011, the population of the people in a village is 1 175. In the year 2012, the population was increased by 12 %. What is the population of the village in the year 2012
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Answer:
Population growth is a current topic in the media today. The world population is growing
by over 70 million people every year. Predicting populations in the future can have an
impact on how countries plan to manage resources for more people. The tools needed to
help make predictions about future populations are growth models like the exponential
function. This chapter will discuss real world phenomena, like population growth and
radioactive decay, using three different growth models.
The growth functions to be examined are linear, exponential, and logistic growth models.
Each type of model will be used when data behaves in a specific way and for different
types of scenarios. Data that grows by the same amount in each iteration uses a different
model than data that increases by a percentag
Starting at the age of 25, imagine if you could save $20 per week, every week, until you
retire, how much money would you have stuffed under your mattress at age 65? To solve
this problem, we could use a linear growth model. Linear growth has the characteristic of
growing by the same amount in each unit of time. In this example, there is an increase of
$20 per week; a constant amount is placed under the mattress in the same unit of time.
If we start with $0 under the mattress, then at the end of the first year we would have
$20 52 $1040 × = . So, this means you could add $1040 under your mattress every year. At
the end of 40 years, you would have $1040 40 $41,600 × = for retirement. This is not the
best way to save money, but we can see that it is calculated in a systematic way.
Linear Growth: A quantity grows linearly if it grows by a constant amount for each
unit of time.
ple 4.1.1: City Growth
Suppose in Flagstaff Arizona, the number of residents increased by 1000 people
per year. If the initial population was 46,080 in 1990, can you predict the
population in 2013? This is an example of linear growth because the population
grows by a constant amount. We list the population in future years below by
adding 1000 people for each passing year.
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