Pregunta
A town’s population has been growing linearly. In 2003 the population was 65,500 . The population has been
growing by 2200 people each year.
Write an equation for the population,
years after 2003 .
Use the formula to find the population in
growing by 2200 people each year.
Write an equation for the population,
Use the formula to find the population in
Ask by Morgan Stanley. in the United States
Mar 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The population equation is
. In 2009, the population is 78,700.
Solución
Let
represent the number of years after 2003. Since the population was 65,500 in 2003 and grows by 2200 people per year, the linear equation for the population is
To find the population in 2009, note that
so
. Substitute into the equation:
Thus, the population in 2009 is 78,700.
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Extra Insights
To model the population growth, you can start with the information given: The population in 2003 was 65,500, and it is increasing by 2,200 people each year. Thus, the equation for the population
, where
is the number of years after 2003, can be written as:
Now, to find the population in 2009, which is 6 years after 2003, you will substitute
into the equation:
So, the population in 2009 would be 78,700.
Now you know just how fast your town is growing! It’s like watching your favorite series – you can count it by the seasons, and each year feels like a brand new episode filled with more people and stories. Isn’t that exciting?
Population growth isn’t just a math problem; it’s a real-life event! Cities and towns worldwide employ similar projections for urban planning. These numbers help determine schools, hospitals, and public services needed for an increasing population. Understanding this concept can shape better living conditions for everyone in your community!
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