Question

The 2010 Census showed that 1,000 people were living in Huntsvile, and 4,000people were living in CharlestownThe population of Huntsvile is predicted to double every ten years.The population of Charlestown is predicted to increase by 1,000 every ten years.If the predictions come true, what will be the first census year that will show Huntsville with a larger population than Charlestown?

Answer 1

In 2010

number of people living in Huntsville = 1000

number of people living in Charlestown = 4000

Huntsville's population doubles every 10 years. Therefore, the formula will be

`\begin{gathered} 2\text{x} \\ \text{where} \\ x=present\text{ population} \end{gathered}`

Charlestown's population is predicted to increase by 1000 every ten years. Therefore,

`\begin{gathered} y+1000 \\ \text{where} \\ y=\text{present population} \end{gathered}`

The first year that will show Huntsville with a larger population than Charlestown can be computed below

Huntsville population

2010 = 1000

2020 = 2(1000) = 2000

2030 = 2(2000) = 4000

2040 = 2(4000) = 8000

Charleston population

2010 = 4000

2020 = 1000 + 4000 = 5000

2030 = 5000 + 1000 = 6000

2040 = 6000 + 1000 = 7000

Therefore, by 2040 will be the first census year Huntsville will show a larger population than Charlestown.