Respuesta :
Answer:
The area of land that will be lost between 2011 and 2022 is;
[tex]14.67\text{ square miles}[/tex]Explanation:
Given that approximately 20 square miles of dry land and wetland were converted to water along the Atlantic coast between 1996 and 2011.
[tex]\begin{gathered} \text{Area of land converted = 20 square miles} \\ \text{time taken = 2011-1996 = 15 years} \end{gathered}[/tex]The rate at which land is lost between 1996 and 2011 is;
[tex]\begin{gathered} \text{rate = }\frac{Area}{\text{time taken}}=\frac{20}{15}\text{ square miles per year} \\ \text{rate =}\frac{4}{3}\text{ square miles per year} \end{gathered}[/tex]At the same rate the area of land that will be lost between 2011 and 2022 will be;
[tex]\begin{gathered} \text{time taken = 2022 - 2011 = 11 years} \\ So; \\ \text{Area = Rate }\times\text{ time} \\ \text{Area = }\frac{4}{3}\times11=\frac{44}{3}\text{ square miles} \\ \text{Area = }14.67\text{ square miles} \end{gathered}[/tex]Therefore, the area of land that will be lost between 2011 and 2022 is;
[tex]14.67\text{ square miles}[/tex]