Question

It is reported that approximately 20 squaremiles of dry land and wetland were convertedto water along the Atlantic coast between 1996and 2011.At this rate how much land will be lostbetween 2011 and 2022?

Answer 1

The area of land that will be lost between 2011 and 2022 is;

`14.67\text{ square miles}`

Step-by-step explanation:

Given that approximately 20 square miles of dry land and wetland were converted to water along the Atlantic coast between 1996 and 2011.

`\begin{gathered} \text{Area of land converted = 20 square miles} \\ \text{time taken = 2011-1996 = 15 years} \end{gathered}`

The rate at which land is lost between 1996 and 2011 is;

`\begin{gathered} \text{rate = }\frac{Area}{\text{time taken}}=(20)/(15)\text{ square miles per year} \\ \text{rate =}(4)/(3)\text{ square miles per year} \end{gathered}`

At the same rate the area of land that will be lost between 2011 and 2022 will be;

`\begin{gathered} \text{time taken = 2022 - 2011 = 11 years} \\ So; \\ \text{Area = Rate }*\text{ time} \\ \text{Area = }(4)/(3)*11=(44)/(3)\text{ square miles} \\ \text{Area = }14.67\text{ square miles} \end{gathered}`

Therefore, the area of land that will be lost between 2011 and 2022 is;

`14.67\text{ square miles}`